Completing the Square Calculator

Convert ax² + bx + c to vertex form. Full step-by-step solution shown.

Enter Quadratic: ax² + bx + c

a (x² coefficient)

b (x coefficient)

c (constant)

Step-by-Step Solution

What is Completing the Square?

Completing the square converts a quadratic from standard form (ax²+bx+c) to vertex form a(x−h)²+k, where (h,k) is the vertex of the parabola. It's used to solve quadratics, find the vertex, and derive the quadratic formula.