1. Sullivan Algebra and Trigonometry: Section 1.2 Quadratic Equations
Objectives of this Section
Solve a Quadratic Equation by Factoring
Know How to Complete the Square
Solve a Quadratic Equation by Completing the Square
Solve a Quadratic Equation Using the Quadratic Formula
Solve Applied Problems

2. A quadratic equation is an equation equivalent to one of the form
where a, b, and c are real numbers and a isn’t zero.

3. Solve the following equation using factoring
Solution Set:

4. Solve: ( ) x + = 2 25
Solution set:
{-7, 3}

5. Solve the following equation by completing the square:

8. Theorem Quadratic Formula

9. Discriminant of a Quadratic Equation

10. Find the real solutions, if any, of the following quadratic equation:

11. Example: Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40 square meters.
Given: 2L + 2W = 26
LW = 40
Solve perimeter formula for l:
2L = 26 – 2W
L = 13 – W
Substitute this expression for l into the area formula.
LW = 40
(13-W)W = 40

12. So, the rectangle is 8 meters x 5 meters.
So, the rectangle is 8 meters x 5 meters.