Calculators

Quadratic Equation Calculator

Solve ax² + bx + c = 0 with steps.

a (x²)b (x)c

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Root x₁

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Root x₂

Discriminant (b²−4ac)—

Nature of roots—

Vertex—

Factored form—

Parabola y = ax² + bx + c

▸ Step-by-step working

This free quadratic equation calculator solves any equation of the form ax² + bx + c = 0 using the quadratic formula. Enter the coefficients a, b and c to get the real or complex roots, the discriminant, and the vertex of the parabola. It handles repeated roots and linear cases as well.