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Solving Quadratic Equations — A Complete Step-by-Step Guide with a Calculator

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Solving quadratic equations is a nightmare for many students, even though once you understand the logic, you realize it is a well-structured, predictable process. Whether you are preparing for a math test or encounter a quadratic equation in everyday life, this guide will help walk you through the solution step by step. Moreover, we will show you how to use the quadratic equation calculator functions for quick and accurate calculations.

What is a quadratic equation?

Let's start with the basics. A quadratic equation is an algebraic equation in which the highest-degree term is the square of the unknown. Its general form looks like this:

ax² + bx + c = 0

Where:

  • a, b and c are real numbers (coefficients)
  • a ≠ 0 (because if a = 0, then it would no longer be a quadratic equation but a linear one)
  • x is the unknown we are looking for

Simply put, a quadratic equation is one where the unknown also appears squared — which is why simple rearrangement is not enough; special methods are needed to solve it. The good news is that these methods work in every case; you just need to know when to use which one.

You may encounter such equations not only in math class. In physics, the trajectories of projectiles; in economics, profit-loss calculations; and in engineering practice, many design tasks are described by quadratic equations. So it is worth being familiar with them!

The quadratic formula

The most effective and most general tool for solving quadratic equations is the quadratic formula (also known as the formula for quadratic equations). With it, every quadratic equation can be solved, regardless of how „ugly” the number is:

x₁,₂ = (−b ± √(b² − 4ac)) / (2a)

It may look intimidating at first glance, but don't worry! If you proceed step by step, you will quickly get the hang of it. The quadratic equation calculator applies this formula; you just need to enter the coefficients, and you immediately get the result.

How to use the quadratic formula?

Let's look at the steps through a concrete example. Let's take this equation:

2x² + 5x − 3 = 0

Step 1: Identify the coefficients

Look at the general form of the equation: ax² + bx + c = 0

  • a = 2 (the coefficient of x²)
  • b = 5 (the coefficient of x)
  • c = −3 (the constant term)

Step 2: Calculate the discriminant (D)

The discriminant is the part under the square root sign in the quadratic formula: D = b² − 4ac

D = 5² − 4·2·(−3) = 25 − (−24) = 25 + 24 = 49

Step 3: Take the square root

√D = √49 = 7

For taking the square root, you can use our root calculator or the scientific calculator.

Step 4: Substitute into the quadratic formula

x₁ = (−5 + 7) / (2·2) = 2 / 4 = 0.5

x₂ = (−5 − 7) / (2·2) = −12 / 4 = −3

Step 5: Check the solution

Substitute the results back into the original equation:

If x = 0.5: 2·(0.5)² + 5·0.5 − 3 = 2·0.25 + 2.5 − 3 = 0.5 + 2.5 − 3 = 0 ✓

If x = −3: 2·(−3)² + 5·(−3) − 3 = 18 − 15 − 3 = 0 ✓

So the two solutions of the equation are: x₁ = 0.5 and x₂ = −3.

The significance of the discriminant

The discriminant (D = b² − 4ac) is not just a number in the formula — it tells you a lot about the solutions of the equation:

  • If D > 0: The equation has two distinct real solutions. This is the most common case.
  • If D = 0: The equation has exactly one real solution (two coincident roots). In this case, the ± term disappears from the quadratic formula.
  • If D < 0: The equation has no real solution. In this case, you can work with complex numbers, but you will generally only encounter this at university level.

For example, if the discriminant is zero (D = 0), the solution looks like this: x = −b / (2a). In this case, the graph of the function just touches the x-axis. If the discriminant is negative, the parabola does not intersect the x-axis — in that case, it is pointless to look for a real solution, because there is none.

Examining the discriminant is therefore the first step before you enter any quadratic equation calculatordata. You will already know what result to expect.

Other methods for solving quadratic equations

The quadratic formula is universal, but there are cases where you can use simpler methods.

Factoring

If the equation can be easily factored, you can even solve it in your head. Let's take this example:

x² − 5x + 6 = 0

Find two numbers whose sum is −5 and whose product is 6. These will be −2 and −3. So:

(x − 2)(x − 3) = 0

From here it is simple: a product is zero if any of its factors is zero. So x − 2 = 0 → x = 2, or x − 3 = 0 → x = 3.

Factoring is quick and elegant, but unfortunately it does not work in every case. If the coefficients are „messy” (for example, fractions or large numbers), it is better to use the quadratic formula or quadratic equation calculatorto turn to.

Completing the square

This method transforms the quadratic equation so that it takes the form (x + p)² = q. The steps:

  1. Divide the equation by a (so that the coefficient of x² is 1)
  2. Move the constant term to the right side
  3. Add (b/2)² to both sides
  4. Rewrite the left side as a perfect square
  5. Take the square root of both sides
  6. Solve the equation for x

Let's look at an example: x² + 6x + 5 = 0

Here a = 1, so the first step is skipped. After moving the constant: x² + 6x = −5. Add 9 (which is (6/2)²) to both sides: x² + 6x + 9 = 4. The left side is now (x + 3)², so (x + 3)² = 4. After taking the square root: x + 3 = ±2, so x₁ = −1 and x₂ = −5.

This method is especially useful if you also want to graph the quadratic equation, because the vertex of the parabola can be easily read from the completed square form.

How to use the calculator for quadratic equations?

A quadratic equation calculator Using it is extremely simple. All you have to do is enter the coefficients a, b, and c, and you immediately get the solution. But how do you do it if you don't have a dedicated quadratic calculator?

Use our scientific calculator, which helps you with the following functions:

  • sqrt() — square root extraction: you can calculate the root of the discriminant here
  • Exponentiation (^) — for calculating b² and 4ac
  • Parentheses — for error-free entry of complex expressions
  • pi and e constants — if these also appear in the problem

For example, if you want to calculate the discriminant of the equation 2x² + 5x − 3 = 0, enter this into the scientific calculator: 5^2 − 4 × 2 × (−3). The result will be 49, and by taking the square root sqrt(49) = 7, you can immediately substitute into the quadratic formula.

Common mistakes and tips

Even the most skilled mathematicians can run into these typical pitfalls:

  • Forgetting negative signs: If c is negative, then −4ac is actually −4·a·(−c) = +4ac! This is one of the most common mistakes.
  • Incorrectly identifying the coefficients: Make sure the equation is truly in the form ax² + bx + c = 0. If a term is missing, its coefficient is zero.
  • Forgetting the denominator: The denominator of the quadratic formula is 2a, not just 2!
  • Not checking: Always substitute the solutions back in — this is the most reliable way to check them.

A quadratic equation calculator using it is good precisely because it eliminates these calculation errors. You can focus on correctly identifying the coefficients, and the machine performs the exact calculation.

Practical examples — try it yourself!

Example 1: Incomplete quadratic equation

x² − 9 = 0

Here b = 0, so the equation is incomplete. In this case, you don't need to use the quadratic formula: simply rearrange! x² = 9, from which x = ±3. The two solutions are: x₁ = 3 and x₂ = −3.

Example 2: With fractional coefficients

½x² − 2x + 3 = 0

Multiply the entire equation by 2, so it becomes x² − 4x + 6 = 0. Then a = 1, b = −4, c = 6. D = (−4)² − 4·1·6 = 16 − 24 = −8. Since D < 0, the equation has no real solutions.

Example 3: Real-life situation

You throw a ball upward with an initial velocity of 15 m/s. How high will it be after 2 seconds? In physics, the height of a projectile is described by the formula h(t) = h₀ + v₀·t − ½·g·t², where g ≈ 10 m/s².

If h₀ = 1.5 m (the height of the throw), then h(2) = 1.5 + 15·2 − 5·4 = 1.5 + 30 − 20 = 11.5 meters. But if we ask when the ball will be at a height of 10 meters, we arrive at the quadratic equation: 10 = 1.5 + 15t − 5t², rearranged: −5t² + 15t − 8.5 = 0, or 5t² − 15t + 8.5 = 0.

Using the quadratic formula: t ≈ 0.73 s and t ≈ 2.27 s — the ball will be at 10 meters twice, once on the way up and once on the way down.

Summary: don't let the quadratic equation scare you

Solving quadratic equations is not rocket science, just a well-established procedure that, once you understand it, becomes routine. Here's a summary of the most important points:

  • Always bring the equation to the ax² + bx + c = 0 form
  • Correctly identify the a, b, c coefficients
  • Calculate the discriminant: from this, you'll immediately know how many solutions to expect
  • Use our quadratic formula: x₁,₂ = (−b ± √(b² − 4ac)) / (2a)
  • If it's simpler, try factoring or completing the square
  • Use our quadratic equation calculatorfor quick checking
  • Always check the obtained solutions in the original equation

And remember: math is not magic, but a matter of practice! The more quadratic equations you solve, the more confident you'll become. Our scientific calculator is always at your disposal if you want to quickly verify your calculations.

And if you'd like to practice more, visit our root calculator to refine your square root calculations, or check out the exponent calculator if you need to practice exponentiation.

Severance pay 2026 — When is it due, how much is it, and how can it be calculated?

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Introduction: What Is Severance Pay and When Is It Due?

A severance pay a one-time cash benefit paid by the employer to the employee upon termination of employment. It is not due in every case — eligibility is regulated by Section 77 of the Labor Code (Mt.) and is subject to several conditions. The purpose of the benefit is to ensure that the employee is not left entirely without income after losing their job and has time to find a new position.

Many people have heard of severance pay, but few know exactly when it is due, how much it amounts to, and how to calculate it. This guide answers all essential questions based on the 2026 rules, referencing the Labor Code and the applicable tax regulations.

If you want to quickly calculate the amount you are entitled to, use the szamologep.hu severance pay calculator— and after reading the guide below, you will know exactly what the resulting figure means.

When Is Severance Pay Due? — Eligibility Conditions in 2026

A severance pay is not automatic. The law precisely defines the cases in which there is an entitlement to it. The table below summarizes the most common cases.

In the case of employer termination

A severance pay as a general rule, it is due if the employer terminates the employee's employment. However, two conditions must also be met:

  1. The reason for the termination is not the employee's conduct related to the employment relationship
  2. The reason for the termination is not the employee's reason related to health condition

If these conditions are met, the employee is entitled to severance pay, provided that the employment relationship has lasted at least 3 years. at the time of termination. This means that ordinary termination initiated by the employer is the most common legal basis for severance pay.

When is severance pay NOT due?

A severance pay amount the employee is not entitled to it in the following cases:

  • Employee resignation — if you resign yourself, the law does not provide severance pay
  • Immediate termination during the probationary period — by either party, on any day
  • Extraordinary termination — if the employer terminates due to the employee's serious breach of obligations (e.g., unauthorized absence, breach of confidentiality obligations)
  • Mutual agreement — in this case, the parties may freely agree on severance pay, but there is no legal obligation
  • Retirement — if the employee terminates the employment relationship due to eligibility for old-age pension, statutory severance pay is not due

Important warning: In the case of mutual agreement, the parties may agree on anything — if the employer offers a mutual agreement instead of termination, it is worth having the agreement reviewed by an expert (labor lawyer), because you may lose your entitlement to statutory severance pay. Always seek legal advice before signing a mutual agreement document!

Amount of Severance Pay in 2026 — How Much Do You Get Based on Length of Employment?

A severance pay amount depends on the time spent in the employment relationship. The Labor Code provides a clear table for how much severance pay is due after how many years of employment. The longer you worked for the same employer, the higher the amount you can expect.

Based on Section 77 of the Labor Code, the amount of severance pay is as follows:

Length of employment Amount of severance pay (monthly absence fee)
3–5 years 1 month
5–10 years 2 months
10–15 years 3 months
15–20 years 4 months
20–25 years 5 months
Over 25 years 6 months

What does absence pay mean?

A severance pay calculation is based on the absence pay. Absence pay is a concept under the Labor Code, which includes:

  • The base salary (the amount specified in the employment contract)
  • Regular wage supplements (e.g., shift premium, overtime premium)
  • Other regular benefits

Therefore, absence pay does not always match the monthly gross salary, but for most employees, it is practically the same.

How can severance pay be calculated?

A severance pay calculation is done with a simple formula that anyone can easily apply:

Severance pay amount = Absence pay × Number of months due based on years worked

Example calculation

Suppose your monthly absence pay is gross HUF 500,000 and you have worked for the same employer for 14 years:

  1. Check the table: between 10–15 years 15 years absence pay is due
  2. Multiply: HUF 500,000 × 3 = HUF 1,500,000 gross severance pay

For an accurate calculation, use the szamologep.hu severance pay calculatorwhich calculates the amount due to you in seconds based on the 2026 rules.

Taxation of severance pay in 2026

A taxation of severance pay in 2026 also follows the rules of personal income tax and social security contributions. The most important points:

Personal income tax (PIT)

A severance pay is taxed similarly to wages. After the payment, 15% PIT must be paid. However, the law caps the amount of severance pay that can be taxed tax-free or at a reduced rate, so it is advisable to seek the help of a tax expert for an accurate calculation.

Social security contributions

A when calculating severance pay contributions must also be considered:

  • Payable by the employee: Social security contribution (18.5%, which includes pension, health insurance, and labor market contributions)
  • Payable by the employer: Social contribution tax (13%)
  • Vocational training contribution: 1,5%

These contributions reduce the net amount received from the gross severance pay.

Concrete example: From gross to net

Let's calculate a specific case for the full picture:

Initial data:
– Monthly gross absence pay: HUF 500,000
– Length of employment: 14 years (3 months of severance pay)
– Gross severance pay: HUF 1,500,000

Deductions:
– PIT (15%): HUF 225,000
– Social security contribution (18.5%): HUF 277,500
– Net severance pay (estimated): HUF 997,500

Note: This is a simplified calculation. The exact net amount depends on tax benefits (e.g., family tax allowance, allowance for raising four or more children) and individual circumstances. For the exact amount, use the szamologep.hu severance pay calculatorabout.

Calculation examples — specific cases

Example 1: Short employment (4 years)

  • Monthly gross salary: HUF 350,000
  • Length of employment: 4 years (1 month severance pay)
  • Gross severance pay: HUF 350,000
  • Estimated net: HUF 232,750

Severance pay received after four years corresponds to one month's salary. This amount can help bridge the first month of job searching.

Example 2: Medium-length employment (8 years)

  • Monthly gross salary: HUF 450,000
  • Length of employment: 8 years (2 months severance pay)
  • Gross severance pay: HUF 900,000
  • Estimated net: HUF 598,500

After eight years, two months' worth of severance pay is due, which can provide significant financial security during the transition period.

Example 3: Long employment (22 years)

  • Monthly gross salary: HUF 600,000
  • Length of employment: 22 years (5 months severance pay)
  • Gross severance pay: HUF 3,000,000
  • Estimated net: HUF 1,995,000

This amount represents a substantial financial reserve that can cover living expenses for up to six months during job searching.

To calculate the exact net amount, use the szamologep.hu severance pay calculatorabout, which calculates based on 2026 tax rules.

Severance pay or sick pay — what's the difference?

Many people confuse severance pay with sick leave and sick pay, but these are completely different benefits. The comparison below helps clarify:

Benefit When is it due? Who pays it? Duration
Severance pay Upon termination of employment Employer Lump sum
Sick leave In case of illness (first 15 working days) Employer 15 working days per year
Sick pay After sick leave expires Health insurance fund Indefinite period

A severance pay is related to the termination of employment, not illness. If you are on sick pay and your employer terminates your employment, you may receive benefits under both entitlements — severance pay from the employer and sick pay from health insurance.

For detailed calculations related to sick leave and sick pay, see the szamologep.hu sick pay calculatorabout.

How to claim severance pay?

A severance pay does not need to be claimed separately, and no separate application is required. If the eligibility conditions are met, the employer is obliged to pay it upon termination of employment, together with the salary. The payment is due on the day of termination of employment.

Practical notes:
– Severance pay must be paid on the day of termination of employment
– The employer pays it in a lump sum together with the salary
– If the employer does not pay it, the claim can be enforced before the labor court
– The limitation period for the claim is 3 years

FAQ — Frequently asked questions about severance pay

Is severance pay due in the case of mutual agreement?

In the case of mutual agreement, the law does not require severance pay, but the parties are free to agree on it. If the employer offers a mutual agreement, be sure to record the terms in writing, including any severance amount.

Is severance pay due upon retirement?

No. Statutory severance pay is not due when the employment relationship ends due to old-age retirement. This should be taken into account when timing your retirement.

How is the length of employment calculated?

All time continuously spent with the given employer counts toward the employment period. If you worked there without interruption for 10 years, you fall into the 10–15 year bracket and are entitled to 3 months' severance pay. Time spent with a legal predecessor also counts, for example in the case of a company transformation or acquisition.

What happens if the employer does not pay the severance pay?

The employee may turn to the court. Severance pay is a labor law claim that can be enforced in the labor court. The limitation period is 3 years, but it is advisable to take the necessary steps as soon as possible.

Is severance pay required when a fixed-term contract expires?

In the case of a fixed-term contract, no severance pay is due upon the expiry of the contract. However, if the employer terminates the fixed-term contract prematurely, severance pay may be due in certain cases.

Does part-time work affect the amount of severance pay?

No. The severance pay amount is based on the actual absence fee, which is determined based on your part-time salary. The calculation formula and the number of months due based on the length of employment are the same.

Can severance pay be combined with the notice period?

Yes, but they are not the same concept. The employer may exempt the employee from work during the notice period, and must still pay the absence fee for this period. This amount is not is the same as severance pay — you may be entitled to both benefits if the conditions are met.

Summary — what is worth remembering?

A severance pay rules for 2026 have not fundamentally changed compared to previous years, but it is worth being aware of the exact conditions, as the amount can even be several million forints.

The most important points in brief:

  1. Only employer-initiated termination entitles you to it (unless the employee's conduct is the reason)
  2. A the amount depends on the length of employment (1–6 months' absence fee)
  3. A taxation of severance pay in 2026, 15% personal income tax + 18.5% social security contribution
  4. In the case of mutual agreement, there is no statutory obligation — it depends on the parties' agreement
  5. Do not sign a mutual agreement without consulting a labor lawyer
  6. Use the severance pay calculator at szamologep.hu to calculate the exact amount

If you are changing jobs or your employer gives you notice, be sure to calculate how much severance pay you are entitled to. Knowing the exact amount helps with conscious financial planning — and ensures that the end of your employment does not come as a surprise.

Tip: If you have questions about severance pay, it is advisable to consult a labor lawyer, especially if the employer offers a mutual agreement instead of termination. Losing statutory severance pay can have serious financial consequences.

Using an Online Calculator – Tips and Tricks for Beginners and Advanced Users

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Introduction

Who hasn't found themselves in a situation where they needed to quickly calculate something, but didn't have a physical calculator at hand? Nowadays, there's the online calculator — a tool that helps not only with basic operations, but also with scientific calculations, financial planning, and solving everyday math problems.

However, many people only use the surface: addition, subtraction, division, multiplication. Yet a modern online calculator has a wealth of features that can save time and provide more accurate results. In this article, we've gathered the best tips and tricks — whether you're a beginner or an advanced user.

Why should you use an online calculator?

Physical calculators have their place — for example, during an exam you can't use anything else. In everyday life, however, an online calculator comes with numerous advantages:

Advantage Explanation
Always at hand Accessible on any device: phone, tablet, laptop, desktop
No installation needed Works instantly from the browser — no download, no installation
Automatic saving Calculation history is preserved (Google calculator, okcalc.com)
Continuous updates Scientific calculator features can expand, unlike physical devices
Free Most online calculators are completely free to use

Source: The kiszamolo.com online calculator page has 3 Facebook shares and 22 backlinks, indicating demand for the topic.

Basics: How to use the online calculator?

1 Using the keyboard

Most online calculator support the computer keyboard:

Key Function
0-9 Entering numbers
+ Addition
- Subtraction
* or x Multiplication
/ Division
Enter or = Result
Escape or C Clear
Backspace Delete last character

Tip: If you need to calculate quickly, don't click — use the keyboard! This can make your work up to 3-4 times faster.

2 Switching between basic and scientific mode

Most online calculator has both basic and scientific views:

  • Basic mode: addition, subtraction, multiplication, division, percentage calculation
  • Scientific calculator mode: trigonometric functions (sin, cos, tan), logarithm, square root, exponentiation, factorial, constants (π, e)

To switch, look for the „Scientific” button on the calculator interface.

Advanced tips for online calculators

1 Fraction calculations

A good online calculator can display the result not only in decimal form but also in fraction form. For example:
– 1 ÷ 3 → result 0.333... instead of 1/3
– 2 ÷ 4 → 0.5 instead of 1/2

This is especially useful for math homework and engineering calculations.

2 Percentage calculation made easy

Many people struggle with percentage calculations. An online calculator works like this:

  • What is 15% of 200? → 200 × 15% → 30
  • What is 200 plus 15%? → 200 + 15% → 230
  • What is 200 minus 15%? → 200 - 15% → 170

3 Memory functions (M+, M-, MR, MC)

One of the best features of physical calculators is the memory, and this online calculator also supports it:

  • M+ (Memory Plus): adds the number on the display to the memory
  • M- (Memory Minus): subtracts the number on the display from the memory
  • MR (Memory Recall): recalls the contents of the memory
  • MC (Memory Clear): clears the contents of the memory

Use it like this: If you want to sum up the prices of items while shopping, add the first price (M+), then the second (M+), and so on. Finally, press MR, and you will immediately see the total amount.

4 Powers and roots

  • 5² → type in 5 then x² or 5 ^ 2
  • √ 144 → type in 144 then √ → 12
  • ³√ 27 → 27 then ³√ or 27 ^ (1/3) → 3

5 Trigonometric functions (sin, cos, tan)

If you are working with angles, pay attention to which angle unit the scientific calculator is set to:

  • DEG (degrees) — for everyday calculations
  • RAD (radians) — for higher mathematics
  • GRAD (gradians) — for surveying, special applications

You can usually switch using a DRG or MODE button.

Special calculator types and when to use them

The online calculator is not the same as a calculator. Here are the types that exist:

Type When to use
Basic calculator Daily shopping, tip calculation, simple math
Scientific calculator Math homework, physics, chemistry, engineering calculations
Financial calculator Loan calculation, interest calculation, savings planning
Programmer's calculator Binary/hexadecimal conversion, bitwise operations
Google calculator Quick search field calculation, unit conversion

Internal link suggestion: The various calculators and calculators are available on the main page of számológép.hu (https://xn--szmolgp-iwa0f0e.hu/).

Google calculator — the fastest online calculator

Did you know that you can simply type a calculation into Google search and get the result immediately?

How to use it:
– Open Google.hu
– Type: 25 * 4 + 10
– The first result will be a google calculator widget with the result

But that's not all! The Google calculator can:

  • Unit conversion: "100 dollar in huf" or "10 km in miles"
  • Currency conversion: "50 eur to huf"
  • Scientific calculations: switch to scientific mode in the top right corner of the widget

Tip: The Google calculator is great for quick calculations, but for complex operations, it's better to use a dedicated scientific calculator.

How to choose an online calculator?

When online calculator searching for one, it's worth considering these factors:

  1. Features: Is basic arithmetic enough, or do you need a scientific calculator?
  2. Interface: Clean, tidy design — not full of ads
  3. Keyboard support: Can you type from the keyboard?
  4. History: Does it save previous calculations?
  5. Platform independence: Does it work on mobile and desktop?

Internal link suggestion: You can browse among the various online calculators and calculators on the számológép.hu page.

Common mistakes and how to avoid them (frequently asked questions)

Why don't I get an accurate result?
Check that you've entered the order of operations (operation priority/parentheses) correctly. For example: 2 + 3 × 4 is not the same as (2 + 3) × 4.

Where did the sin/cos button go?
You're probably in basic mode. Switch to scientific calculator mode.

Why is DEG/RAD on the display?
It indicates the angle unit. If you're not sure, set it to DEG for everyday calculations.

Can the online calculator be downloaded?
Most online calculators don't require calculator downloadre — works from the browser. If you need offline access, look for PWA (Progressive Web App) support.

Summary

The online calculator has become an indispensable tool for students, engineers, financial professionals, and everyday users alike. Whether it is a simple addition or a complex trigonometric calculation, choosing the right tool and using it effectively can save a lot of time.

Remember the basics:
– Use the keyboard for faster input
– Learn the functions of the scientific calculator
– Choose the calculator type that best fits your task
– Do not be afraid to try Google Calculator's quick search option as well

If you need more help, visit calculator.hu page, where you will find a complete collection of calculators and calculators.

Using a Scientific Calculator for Beginners – Step-by-Step Guide

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If you've just bought a scientific calculator, or got one at school, and it's full of buttons, half of which are unfamiliar — don't worry. This guide is exactly for you. We'll go through everything a beginner student needs to know: from the basics, through trigonometry, to solving equations. We'll use the Casio FX-991 series as a reference, as it's the most common in Hungarian secondary schools, but most functions work similarly on other brands.

Tip: If you don't have a physical calculator at hand, try our scientific calculator online — with the same functions, right from your browser.

What is a scientific calculator and how is it different?

A scientific calculator (scientific calculator) differs from a regular school calculator in that, beyond basic operations (addition, subtraction, multiplication, division), it also has trigonometric, logarithmic, statistical, and equation-solving functions.

Who should use it?

  • Secondary school students — for math, physics, chemistry classes and for the final exams
  • University students — in engineering, economics, and IT programs
  • Adult learners — evening school, online courses, self-study

The Casio FX-991CE X is so popular in Hungarian schools because it's reliable, includes all necessary functions, and can be used in final exams.

Get to know your calculator

The first step is to know what each button does. Here are the most important ones:

  • ON / AC — Power on and clear the display contents
  • SHIFT — Access secondary functions (yellow labels above the buttons)
  • ALPHA — Tertiary functions (red labels), such as memory variables
  • MODE — Switch modes (DEG/RAD, EQN, STAT, TABLE, etc.)
  • S↔D — Toggle between fraction and decimal form

How to switch modes? Press the MODE button, then select the number of the desired mode. For example, you work in DEG (degree) mode for trigonometry, while in EQN mode you can solve equations.

Basic operations and fractions

The scientific calculator automatically follows the order of operations (parentheses → powers → multiplication/division → addition/subtraction). This means that if you enter the expression 3 + 4 × 2, the result will be 11, not 14. If you want a different order, use parentheses.

Entering fractions: You can enter fractions with the a b/c button. For example: 2 a b/c 3 = ²⁄₃. If you want to convert it to a decimal, press the S↔D button.

Related: If you're calculating percentages, check out our percentage calculator as well.

Powers, roots, and trigonometry

Exponentiation and root extraction:

  • x² — squaring (e.g., 5² = 25)
  • √ — square root (e.g., √25 = 5)
  • x^y — any power (e.g., 2^5 = 32)
  • SHIFT + √ (x√) — any root

Logarithms:

  • log — base-10 logarithm
  • ln — natural logarithm (base e)

Related: Use our logarithm calculator for practice.

Trigonometry (sin, cos, tan): The most important thing you need to know: always check whether you are in DEG or RAD mode!

  • DEG (degrees) — use this for high school math and the final exam
  • RAD (radians) — for more advanced math and physics

If you calculate sin(30) in DEG mode, the result is exactly 0.5. If you are in RAD mode, you get a completely different number.

Inverse functions: SHIFT + sin = sin⁻¹, SHIFT + cos = cos⁻¹, SHIFT + tan = tan⁻¹.

Try it live: A our scientific calculator helps you practice trigonometric calculations.

Solving equations (EQN mode)

One of the most useful features before the final exam:

  1. Press the MODE button
  2. Select the EQN mode
  3. Enter the equation type (e.g., quadratic: ax² + bx + c = 0)
  4. Enter the coefficients (a, b, c)
  5. The calculator displays the solutions (x₁ and x₂)

Example: x² − 5x + 6 = 0 — a = 1, b = −5, c = 6 — Result: x₁ = 3, x₂ = 2

You can also solve linear equation systems with two or three unknowns in the same way.

5 common mistakes every beginner makes

  1. Ignoring the order of operations — If you enter the expression 3 + 4 × 2 without parentheses, the machine calculates according to mathematical rules.
  2. Mixing up degree/radian mode — Always check the top of the display to see if DEG or RAD is shown.
  3. Forgetting the operation mode — If you want to calculate statistics, don't try it in normal mode. Switch to STAT mode.
  4. Incorrect entry of negative numbers — The (−) button (negative sign) is not the same as the subtraction button (−).
  5. Failing to clear the memory before the final exam — Press: SHIFT → 9 → 3 → =.

Frequently Asked Questions (FAQ)

How do I turn on the scientific calculator? Press the ON or AC button.

Why am I getting incorrect results for sin/cos calculations? You are probably in RAD mode instead of DEG.

Can I use the Casio FX-991 on the final exam? Yes, the Casio FX-991 series is allowed in Hungarian final exams.

What is the difference between a scientific calculator and a regular calculator? A scientific calculator can also handle trigonometric, logarithmic, and statistical functions.

How do I solve a quadratic equation with the calculator? Switch to EQN mode (MODE → EQN), select the quadratic equation option.

Why is the order of operations important? Because the calculator automatically follows mathematical rules.

Summary — 3 steps to become a pro

  1. Get to know your calculator — Know where the SHIFT, MODE, S↔D, and (−) buttons are.
  2. Practice with exam tasks — Solve 5-10 old test papers with the calculator.
  3. Use the online version — If you don't have the physical device, practice with our scientific calculator in your browser.

Related guides:

Using an Online Calculator – Tips and Tricks

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The online calculator is much more than a quick substitute for the device in your pocket. Used well, it saves time, reduces calculation errors, and helps even when you need to think through multi-step operations. In this article, we will cover the basics, the most important tips, and how to avoid the most common pitfalls.

If you want calculation to be not guesswork but a quick check, the online calculator is ideal. It is especially useful when you do not have a physical device at hand, are working from mobile, or want to verify a more complex operation in an instant. On the homepage you will find several useful calculators, and in the calculators category you can browse additional related tools.

When should you use an online calculator?

The online calculator is most useful when you need a quick answer but the operation involves multiple steps. This could be checking after shopping, a household budget plan, a school assignment, or even a workplace estimate. The advantage of a browser-based tool is that it is immediately available and usually requires no separate installation.

7 tips and tricks for more accurate calculations

Always pay attention to the order of operations

Most errors come not from the device but from incorrect input. If a formula includes addition, multiplication, and division, the calculator works according to mathematical rules. If you want a different order, use parentheses. This is the simplest way to get exactly what you want.

Use parentheses if you are unsure

Parentheses help „tell” the calculator what you really mean. For example, if you are calculating a percentage of a total amount or want to add several items, parentheses can save you from an unpleasant mistake. If something seems complicated, chances are it needs parentheses.

Switch to scientific mode only when you really need it

Scientific view is useful when working with powers, roots, trigonometric functions, or logarithms. For simple operations, however, it can unnecessarily complicate the picture. If everyday amounts and percentages are your goal, stick to basic mode; if deeper math comes up, then switch to a scientific calculator.

Check decimals and rounding

Online calculators often show more decimal places than you initially want to see. This is useful, but it can also mislead if you round the result too early. Good practice is to keep the more precise value until the end of the calculation and round only at the final step.

Use it for verification, not just as a substitute

The online calculator is not only useful when you cannot calculate mentally. It is also good when you want to quickly verify an estimate you have already made. This is especially useful in finances, cost planning, or comparisons: first think it through mentally or on paper, then check with the calculator.

It works on mobile too, but watch your button presses

On a phone, it is easy to mistype a number or press the wrong operation. Therefore, it is worth using the buttons more slowly and deliberately, especially with longer formulas. If you enter many operations, review the whole thing once more before the result.

Remember the difference between the „clear” buttons

Many calculators have separate buttons for clearing the current operation and resetting the entire calculation. If you see an unexpected result, an old value may still be left in memory or in the input field. It is worth starting a new calculation with a clean slate.

Common mistakes to avoid

  • Wrong order: without parentheses, a different result may come out than expected.
  • Premature rounding: accuracy is lost already at intermediate steps.
  • Typos: one wrong digit completely changes the result.
  • Using the wrong mode: a scientific task in basic mode, or vice versa.
  • Copying without checking: it is always worth reviewing the result once more.

In what situations does it really come in handy?

The online calculator is not only useful in math class. It comes in handy for home budget planning, interest calculations, checking ratios and percentages, shopping, and also when you want to quickly calculate subtotals from a larger amount. For learning, it is beneficial because you immediately see whether the formula is put together correctly. At work, it is valuable because it provides quick confirmation.

If you would like to browse calculation tools in an organized way, look around the calculators category, or read the business taxation selector calculator article as well, where fast and accurate decision support is also the main goal.

Quick checklist before use

  • Did I check the order of the numbers?
  • Did I use parentheses where needed?
  • Am I in the right mode: basic or scientific?
  • Did I avoid rounding too early?
  • Did I clear everything before a new calculation?

In summary: the online calculator is most useful when you use it not only quickly but also deliberately. With a little attention, you can prevent many errors, and the browser-based calculator becomes a real help in everyday calculations. If you want to be sure, always check the formula and only then accept the result.

Per Diem Expense Calculator

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Travel Expense Reimbursement Calculator (2025)

Tax-free reimbursement amount:

Daily allowance (cost flat rate) 0 HUF
Fuel and standard cost 0 HUF
Total tax-free 0 HUF
Notice: The calculator calculates based on the regulations in effect in 2025, for informational purposes only. It does not constitute tax advice and does not take into account any specific corporate policies.

Traveling for work? Calculate how much reimbursement you are entitled to!

Whether it is a domestic meeting or a multi-day international conference, accounting for travel expenses often causes headaches. This calculator was created to help you (whether as an employee or a company manager) quickly and easily estimate the tax-free reimbursement amount according to the 2025 rules.

It is easy to use:

  1. Select the type of trip: First, indicate whether it is a domestic or international trip. The rules are different!
  2. Enter the travel details: Fill in the fields for days, distance, and vehicle.
  3. Done! The calculator immediately shows the most important numbers.

What do the results mean?

  • Daily allowance (cost flat rate): This is the tax-free amount intended to cover general additional costs associated with the trip (e.g., meals).
    • Domestic: Maximum HUF 3,000 per day (for absences of at least 6 hours).
    • International: In general, EUR 60 per day, converted to HUF. Note: if the company or accommodation provides meals, the tax-free limit decreases!
  • Fuel and standard cost: If you travel by your own car, the company can reimburse the vehicle usage costs tax-free. This consists of two parts:
    1. The actual fuel cost used.
    2. And a HUF 15/km general cost flat rate, which covers the car's depreciation.
  • Total tax-free: The combined amount of the daily allowance and vehicle cost reimbursement that the company can pay you tax-free.

Important: This calculator is for informational purposes only and does not constitute tax advice. Always consider your company's internal policies and all details of the applicable legislation!

Extraordinary Leave Calculator

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Extraordinary Leave Guide (2025)

Select your life situation and see how much working time allowance you are entitled to under the Labor Code!

Entitlement: 2 working days

In the event of the death of a close relative, the law provides 2 working days of working time allowance, for which absence pay (salary) is due.

When life gets in the way: A guide to extraordinary leave days

In life, there are important or difficult moments – the birth of a child, the loss or care of a relative – when our presence matters more than work. The Labor Code provides additional leave days for several such cases so you can focus on your family.

This guide helps you navigate how much working time allowance you are entitled to and under what conditions for a given family event, according to the 2025 rules.

How to use it?

Simply select the life situation that applies to you from the list, and we will immediately show you the most important information about the leave days you are entitled to and the compensation.

Be aware of your rights so that you can receive the maximum support possible in these situations!

Higher Education Study Leave Calculator

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Study Leave Calculator (2025)

Are you studying in higher education alongside your job? Calculate how many days of paid leave you are entitled to during the exam period!

Paid leave for exams:

Preparation for exams (4 days/exam): 0 working days
For thesis/final exam: 0 working days
Total entitlement: 0 working days

Important note: In addition to the above leave for exams, the employer must also provide the time needed to attend compulsory classes and consultations. Compensation for this time is not mandatory under the law.

The allowance applies to those participating in school-based training. The calculation is for informational purposes only.

Studying alongside work? Find out how much paid leave you are entitled to!

Balancing higher education studies with full-time work is a serious challenge. The good news is that the Labor Code supports your efforts and provides paid leave for preparing for exams!

Many people don't know this, but this allowance does not come out of your regular annual leave; it is a separate benefit provided by law. With this calculator, you can see exactly how many days you are entitled to in each exam period.

How to use it?

  1. Enter the number of your exams: Enter how many exams you have in the current semester.
  2. Mark if you are a graduating student: If you have your final exam or are working on your thesis this semester, tick the checkbox, because you are entitled to extra days off!

The calculator instantly shows how many working days of paid leave you can count on to prepare successfully for the challenges. Remember, the energy invested in your knowledge always pays off!

Part-Time Work and Overtime Pay Calculator

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Wage Supplement Calculator (2025)

Enter your gross hourly wage and the number of hours worked during supplement periods to calculate the supplements you are entitled to.

Supplements in addition to gross pay:

Shift supplement (30%): 0 HUF
Sunday supplement (50%): 0 HUF
Public holiday supplement (100%): 0 HUF
Total supplements: 0 HUF
The calculator provides indicative calculations based on the general rules of the Labor Code. Collective or individual employment contracts may contain different, more favorable terms.

Do you work evenings or weekends? Check how much supplement you are entitled to on top of your pay!

Whether you work part-time or full-time, if your work falls within afternoon, night, Sunday, or public holiday periods, you are entitled to wage supplements in addition to your pay under the Labor Code. This money is paid extra, recognizing work performed during non-standard working hours.

Many people are unaware of exactly how much extra money they are entitled to. This calculator helps you get a clear picture!

How to use it?

  1. Enter your gross hourly wage.
  2. Enter how many hours you worked in each supplement period.
    • Shift supplement (30%): Enter the hours between 6 PM and 6 AM here.
    • Sunday supplement (50%): Enter the hours worked on Sunday here.
    • Public holiday supplement (100%): Enter the working hours performed on official public holidays here.
  3. Done! The calculator instantly shows the amount of supplements you are entitled to, both individually and in total.

Plan ahead and be aware of your rights!

Workplace Training Support Calculator

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Workplace Training Support Calculator (2025)

Enter the total cost of the training and see how both the employee and the employer benefit from it!

For the Employee

The training is a tax-exempt benefit, so your personal tax burden is:

0 HUF

This means that the full value of the training, 0 HUFyou receive it without it reducing your net salary.

For the Employer

The training can be accounted for as a cost, so the company saves on Corporate Tax (TAO). The real cost of the training for the company is:

0 HUF

This 0 HUF means a saving on the 9% TAO.

The calculation is based on general rules for job-related training, is for informational purposes only, and does not constitute tax advice.

Knowledge is the best investment! But how is it taxed?

Training paid for by the company is a huge opportunity for professional development. But what are the financial and tax implications? It is often unclear who such support benefits and exactly how much it is worth.

Our calculator helps you understand what training support means for the employee and what it means for the employer under the 2025 tax rules.

It is very easy to use:

  1. Enter the total cost of the training, and the calculator will immediately show the most important information from the perspective of both parties.

You will see that a well-chosen training not only enhances knowledge but also creates a clearly advantageous financial situation for everyone. This is a true win-win situation!