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Quadratic Equation Calculator

Solve a quadratic equation ax² + bx + c = 0 and calculate its discriminant.

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Free tool

Quadratic coefficient; cannot be zero.

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Linear coefficient.

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Constant term.

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Formula

Discriminant = b² − 4ac; roots = (−b ± √discriminant) ÷ 2a.

Discriminant = b² − 4ac; roots = (−b ± √discriminant) ÷ 2a.

How it works

1

Enter a, b and c.

2

The calculator finds the discriminant.

3

Review the real or complex roots.

Important notes

When the discriminant is negative, the roots are complex.