Introduction

There are numerous ways to solve quadratic equations. This unit will cover graphing, using square roots, factoring, the quadratic formula, and completing the square.

When solving a quadratic equation, there will be two, one or no real solutions. When there are no real solutions the solutions can be represented by the imaginary number *i*. Since , the **complex number i** is defined as . This number can help to define any square root of a negative number.

**Example 1 **

Simplify

, the square roots can be simplified to 4*i*.

**Example 2 **

Simplify

, the square roots can be simplified to.