Quadratic Equation Solver

Solve ax² + bx + c = 0 with roots and vertex.

Guide & how to use

What this tool does

Enter coefficients for a quadratic equation. See the discriminant, real or complex roots, vertex, and a simple parabola sketch.

Example input/output

Illustrative sample — your real inputs may look different.

Example input

a=1, b=-5, c=6  (x² -5x +6 =0)

Example output

Roots x=2 and x=3 · Vertex (2.5, -0.25)

Frequently asked questions