# Solution of quadratic equation

Solution of quadratic equation, including complex roots

A quadratic equation is a second-order polynomial equation in a single variable x

with a != 0

The roots x can be found using the quadratic formula

There are three cases:

if

then there are two distinct roots, both of which are real numbers

if

then there is exactly one distinct real root, sometimes called a double root

if

then there are no real roots. Rather, there are two distinct (non-real) complex roots.

The expression

is called the discriminant of the quadratic equation

Using roots, polynomial equation can be expressed as

Below the calculator

Save the calculation to reuse next time, toextensionembed in your website orshareshare with friends.

## Comments