1. Section 1.5 Quadratic Equations

3. Solving Quadratic Equations by Factoring

6. Example
Solve by factoring:

7. Example
Solve by factoring:

8. Example
Solve by factoring:

9. Solving Quadratic Equations by the Square Root Property

11. Example
Solve by the square root property:

12. Example
Solve by the square root property:

13. Completing the Square

15. Why we call this completing the square.

16. Example
What term should be added to each binomial so that it becomes a perfect square trinomial? Write and factor the trinomial.

17. Example
Solve by Completing the Square:

18. Example
Solve by Completing the Square:

19. Solving Quadratic Equations Using the Quadratic Formula

21. Example
Solve by using the Quadratic Formula:

22. The Discriminant

24. Example
Compute the discriminant and determine the number and type of solutions:

25. Determining Which Method to Use

27. Applications

30. Example

31. Example
A 42 inch television is a television whose screen’s diagonal length is 42 inches. If a television’s screen height is 26 inches, find the width of the television screen
42 inches
26 inches

32. (a)
(b)
(c)
(d)

33. (a)
(b)
(c)
(d)