Completing the Square Calculator

Connected algebra workflow

v10.89 connects equations, inequalities, quadratics, polynomials, matrices, ratios, coordinate forms, exponents and logarithms while preserving the established historical calculation engines.

Transform, then verify

Equivalent forms should agree. Use discriminants, roots, factoring, vertex form, substitution, matrix checks, or the Remainder Theorem where appropriate to verify the result rather than relying on a single opaque output.

How to use this Completing the Square Calculator

Rewrite a quadratic in vertex form by completing the square.

1. Enter, paste, upload, or choose the inputs shown in the tool above.
2. Adjust the available options for the result you need.
3. Review the output before copying, downloading, or using it elsewhere.

What this tool does

Enter ax² + bx + c to calculate h and k, show a(x − h)² + k, and connect the transformation to the vertex.

Practical tips and limits

Review the inputs and result before using the output elsewhere. Keep the original data when the operation changes or replaces content.