About the Cubic Equation Solver

All three roots of any cubic, real or complex, with full working.

What it is

The Cubic Equation Solver finds all three roots of axยณ + bxยฒ + cx + d = 0 using Cardano's classical formula. It depresses the cubic to remove the squared term, computes the discriminant to classify the roots, then applies the appropriate real or complex root formula โ€” showing every step of the derivation.

Features

Cardano's formula

The classical depression-and-substitution method shown step by step.

Discriminant classification

Automatically identifies three real roots, a repeated root, or a complex pair.

Complex root display

Complex roots shown in standard a ยฑ bi form.

Graph

The cubic curve plotted with real roots marked at the x-axis crossings.

Ready to use it?

Free, no sign-up required.

Open the Cubic Equation Solver