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Quadratic Equation Calculator

Find real or complex roots and explore a parabola.

● Live results · Runs on your device · No sign-up

Your inputs

ax² + bx + c = 0; roots use the discriminant b² − 4ac.

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UNDERSTAND YOUR RESULTS

Quadratic Equation Calculator guide

Find real or complex roots and explore a parabola.

How to use this tool

Enter Coefficient a, Coefficient b, Coefficient c.
Change a value to update the results and illustration. Check any validation message before using the output.
Copy the results or download CSV. Reset restores the example values.

A worked example

For x² − 3x + 2 = 0, the roots are 1 and 2. The discriminant is 1.

How it works

ax² + bx + c = 0; roots use the discriminant b² − 4ac.

Frequently asked questions

How should I interpret the illustration?

It is a visual aid, not a replacement for the numeric output. Some charts compare values with different units, and those magnitudes are not directly comparable.

Can I use the result without checking the inputs?

Check units, signs, assumptions and rounding first. The tool cannot know whether the values you enter describe the real situation correctly.