Quadratic Equation Solver

Calculator Tools

Solve ax² + bx + c = 0 with steps

FreePrivateInstant
a (x² coefficient)
b (x coefficient)
c (constant)
Full guide, 5 min readQuadratic equations explained: the formula, the discriminant and what the roots meanRead the story behind this tool →
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Quadratic Equation Solver — at a glance

Find the roots of a quadratic equation without any manual calculation.

Input
a = 1, b = −5, c = 6
Run
Result
x₁ = 3
x₂ = 2

How to use it — step by step

The three numbers a, b and c from ax² + bx + c = 0.

1

Enter your values

Fill in the boxes. Sensible example values are already filled in for you.

2

Solve Equation

Press the button. The answer is worked out instantly on your device.

3

Read or copy the result

See the big answer and the extra details, then press Copy to keep them.

Pro tips

Small things that make the result better.

✦Move every term to one side so the equation equals zero first.
✦A negative discriminant means complex roots.
✦The vertex is the top or bottom point of the parabola.

Quick facts

Real & complexroots
Discriminantshown
Vertexincluded
Freeno signup

Frequently Asked Questions

What if a is 0?+

Then it is not quadratic. It becomes a simple linear equation: x = −c ÷ b.

What is the discriminant?+

It is b² − 4ac. Positive means two real roots, zero means one, negative means complex roots.

Is my data safe?+

Yes. Everything runs inside your own browser. Your text, files and images are never uploaded to any server.

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