1. Solve Quadratic Equations by Completing the Square
Section 10.5

2. Objectives:
Solve quadratic equations by finding completing the square

3. Key Vocabulary:
Completing the square
Perfect square trinomial

4. Completing the Square

5. Example 1:
Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial.

6. #1: Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial.

7. #2: Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial.

8. #3: Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial.

9. Example 2:
Solve by completing the square.

10. Example 3:
Solve by completing the square.

11. #4: Solve the equation by completing the square
#4: Solve the equation by completing the square. Round your solutions to the nearest hundredth, if necessary.

12. #5: Solve the equation by completing the square
#5: Solve the equation by completing the square. Round your solutions to the nearest hundredth, if necessary.

13. #6: Solve the equation by completing the square
#6: Solve the equation by completing the square. Round your solutions to the nearest hundredth, if necessary.

14. Example 4:
You decide to use chalkboard paint to create a chalkboard on a door. You want the chalkboard to have a uniform border as shown. You have enough chalkboard paint to cover 6 square feet. Find the width of the border to the nearest inch.

15. Homework Assignment Page 666 #6, 8, 10, 12, 14, 20, 22,
24, 28, 30, 34, 36, 38, 46, 48, 62, 64