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 GraphingIntro1, the complex number i is defined as GraphingIntro2. This number can help to define any square root of a negative number.

Example 1

Simplify GraphingIntro3

GraphingIntro4, the square roots can be simplified to 4i.

Example 2

Simplify GraphingIntro5

GraphingIntro6, the square roots can be simplified toGraphingIntro7.