## Cubic Equation Solver |

This page contains a routine that solves a Cubic Equation.

**References:**

The utility posted on this page is a Javascript translation of the FORTRAN routine RPOLY.FOR, which is posted off the NETLIB site as TOMS/493. Although all care has been taken to ensure that the sub-routines were translated accurately, some errors may have crept into the translation. These errors are mine; the original FORTRAN routines have been thoroughly tested and work properly. Please report any errors to the webmaster.

Once the problem is arranged into the following form (**a**, **b**, **c**, and **d** are known *constants*), the equation can be solved for values of x that satisfy the equation.

**a** x ^{3} + **b** x ^{2} + **c** x + **d** = 0

Since the equation is a *third* degree equation (the equation's highest power is **three**), there will be **three** solutions.

Input the values for **a**, **b**, **c**, and **d** below, and then click the "Calculate Solutions" button to have the results calculated.

**NOTE**: The solutions may include a non-zero imaginary component, as indicated by the "i" field.

Also, note the Error Code output.