What is the quadratic formula?

x = (-b ± √(b²-4ac)) / 2a. Solves ax²+bx+c=0.

What is the discriminant?

Δ = b² - 4ac. If Δ > 0, two real roots; Δ = 0, one root; Δ < 0, complex roots.

The lowest or highest point of a parabola, at x = -b/2a, y = a(x)² + bx + c.

Free quadratic equation calculator. Solve quadratic equations using the quadratic formula. Find real or complex roots, discriminant, and vertex.

Solve ax²+bx+c=0 and find roots, discriminant, vertex, and axis of symmetry.

a x^{2} + b x + c = 0 x = \frac{- b \pm b ^{2} - 4 a c}{2 a}