# Solving the Quadratic Equation

A **quadratic equation** is a polynomial equation of the second degree, having
the general form:

The letters a, b and c are called coefficients: a is the coefficient of
*x*^{2}, b is the coefficient of *x*, and c is the constant coefficient.
A quadratic equation has two complex roots (i.e., solutions for the unknown term *x*.)
In some cases, these roots can have the same value. The roots can also belong to the realm
of **complex numbers**. The values of the roots can be computed using the **quadratic
formula** as shown below:

For example, the roots of the quadratic equation

can be determined by first substituting 2 for a, -14 for b, and 20 for c

and then solving the expression, which gives the roots of the equation as either *x* = 5 or *x* = 2.

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