Quadratic Formula Calculator

Instantly solve ax^2 + bx + c = 0 with discriminant insights and real or complex roots.

Solve ax^2 + bx + c = 0 instantly with the quadratic formula. Enter your coefficients to review the discriminant, root nature, and exact results.

Results

Root 1

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Root 2

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Discriminant

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Nature of roots

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Enter coefficients to see the full solution.

Quadratic formula: x = (-b ± sqrt(b^2 - 4ac)) / (2a)

The discriminant b^2 - 4ac reveals whether solutions are real, repeated, or complex.

Enter coefficients for a quadratic equation to evaluate the discriminant and compute both roots.