🔢 Quadratic Equation Calculator

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

f(x) = ax² + bx + c

Value of a Value of b Value of c

Quadratic Formula

x = (−b ± √(b² − 4ac)) / 2a

D = b² − 4ac

D > 0: Two distinct real roots

D = 0: Repeated root (double root)

D < 0: Two complex roots

x_v = −b / 2a

y_v = c − b² / 4a

The vertex of the parabola. Minimum when a > 0, maximum when a < 0.

x₁ + x₂ = −b/a

x₁ · x₂ = c/a