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

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.

Solve the following equation using factoring Solution Set:

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

Solve the following equation by completing the square:

Theorem Quadratic Formula

Discriminant of a Quadratic Equation

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

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

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