Chapter 3 Quadratic Equation

Quadratic Equation: a quadratic equation is any equation having the form ax^2+bx+c=0 where x represents an unknown, and a, b, and c represent known numbers such that a is not equal to 0.

If a = 0, then the equation is linear, not quadratic.

Steps:

     1. Move all equations to the left or right (your choice)
     2. Factor the equation

     3. Put the solution to the original equation.

Example

Solve x² + 5x + 6 = 0

2x² + 9x - 5 = 0

(2x - 1)(x + 5) = 0

2x - 1 =0     OR     x + 5 =0

So, x= 1/2 OR -5

Completing Square

General Formula

The Formula: