Quadratic Equation Solver
Calculator ToolsSolve ax² + bx + c = 0 with steps
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History
All history →Quadratic Equation Solver — at a glance
Find the roots of a quadratic equation without any manual calculation.
a = 1, b = −5, c = 6
Run
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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