Quadratic formula calculator

Solve ax² + bx + c = 0 using the quadratic formula with discriminant analysis.

ax² +bx +c= 0

The quadratic formula

For ax² + bx + c = 0, the solutions are x = (−b ± √(b²−4ac)) / 2a. The discriminant b²−4ac determines: positive = 2 real roots, zero = 1 repeated root, negative = complex roots.

Popular quadratic equations
x² + 5x + 6 = 0 x² − 4 = 0 2x² − 3x − 2 = 0 x² + 2x − 8 = 0 x² − 6x + 9 = 0 3x² + x − 2 = 0 x² − 9 = 0 x² + 4x + 4 = 0 x² − x − 12 = 0 4x² − 1 = 0
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