## Quadratic Equation Solver |

This page contains a routine that solves a Quadratic Equation.

**References:**

The utility posted on this page includes 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 code was 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**, and **c** are known *constants*), the equation can be solved for values of x that satisfy the equation:

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

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

This utility is not required if **a** = 0. However, if for some reason 0 is input for **a**, only one solution exists.

Input the values for **a**, **b**, and **c** 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.