Graphing
Graphing
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 4i.
Example 2
Simplify
, the square roots can be simplified to.