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  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.