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Quadratic Equation Solver

This quadratic equation solver handles ax²+bx+c=0 with roots and discriminant shown — real, repeated, or complex. Check x²−5x+6=0 gives 2 and 3 before submission — free, runs locally.

100% Local Browser Native

How to Use the Quadratic Equation Solver

1. Enter a, b, c

Coefficients of ax²+bx+c=0 (a must not be zero).

2. Read roots and discriminant

Real, repeated, or complex with steps shown.

3. Verify by substitution

Plug each root back — the equation must equal zero.

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Frequently Asked Questions

What are the roots of x²−5x+6=0?

x = 2 and x = 3 — discriminant 25−24 = 1, a perfect square giving two rational roots. Enter a=1, b=−5, c=6 to verify.

What does a negative discriminant mean?

No real roots — the parabola never crosses the x-axis. The solver reports the complex pair instead of failing silently.

Does it show the steps?

Yes — coefficients, discriminant value, and formula substitution display in order, so the working matches classroom format.

Are my coefficients uploaded?

No — solving runs locally in your browser. Nothing leaves your device.

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Last updated October 2026