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Quadratic Formula Calculator

Solve quadratic equations ax² + bx + c = 0 using the quadratic formula.

About This Calculator

The quadratic formula x = (−b ± √(b²−4ac)) / 2a solves all quadratic equations. The discriminant (b²−4ac) determines solutions: positive = 2 real roots, zero = 1 real root (double), negative = 2 complex roots. Parabolas model projectile trajectories, satellite dishes, and suspension cables.

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