What is the Quadratic Equation Calculator?
The quadratic equation calculator is a free online tool that helps you work out quadratic equation quickly and accurately. It uses the standard formula x = (-b +/- sqrt(b^2 - 4ac)) / 2a and shows the result instantly as you type, along with a full breakdown so you can see exactly how the answer was reached.
How to use this calculator
- Enter coefficients a, b and c.
- See the roots (real or complex).
Formula used
x = (-b +/- sqrt(b^2 - 4ac)) / 2aExplanation of each input
- a โ the a used in the calculation.
- b โ the b used in the calculation.
- c โ the c used in the calculation.
Understanding your result
- Root 1 โ the calculated root 1.
- Root 2 โ the calculated root 2.
Step-by-step calculation
For the example values x^2 - 3x + 2:
- Apply the formula:
x = (-b +/- sqrt(b^2 - 4ac)) / 2a - Substitute the values: discriminant 1
- Result: x = 1 and 2
Worked example
| Inputs | x^2 - 3x + 2 |
|---|---|
| Working | discriminant 1 |
| Result | x = 1 and 2 |
Benefits and practical uses
This calculator saves you time and reduces errors when you need quadratic equation. It is useful for students, professionals and anyone who wants a fast, reliable answer without manual calculation. Results update instantly, work in your browser and can be copied or shared in one click.
Assumptions and limitations
- a not equal to 0.
Frequently asked questions
What if the discriminant is negative?
The roots are complex (no real solution) and are shown as a +/- bi.
Disclaimer: Results are provided for general information. Please verify important figures independently.