Sullivan Algebra and Trigonometry: Section 1.2 Quadratic Equations

1. Sullivan Algebra and Trigonometry: Section 1.2Quadratic 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. 2 ( ) x + 2 = 25 Solve: 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.