1. Introduction to Solving Quadratic Equations
Objective: Solve quadratic equations by taking square roots

4. Square Roots

5. Square Roots

6. Example 1

7. Example 1

8. Try This
Solve Give exact solutions. Then approximate the solution to the nearest hundredth.

9. Try This
Solve Give exact solutions. Then approximate the solution to the nearest hundredth.
We need to get x by itself.
Add 19 to both sides
Divide by 5
Square root both sides

10. Example 2

11. Example 2

12. Try This
Solve

13. Try This Solve Divide by 4 Square root both sides
Subtract 2 from both sides

14. Example 3
A rescue helicopter hovering 68 feet above a boat in distress drops a life raft. The height in feet of the raft above the water can be modeled by , where t is the time in seconds after it is dropped. After how many seconds will the raft dropped from the helicopter hit the water?

15. Example 3
A rescue helicopter hovering 68 feet above a boat in distress drops a life raft. The height in feet of the raft above the water can be modeled by , where t is the time in seconds after it is dropped. After how many seconds will the raft dropped from the helicopter hit the water?
What are they asking us in terms of our equation?

16. Example 3
A rescue helicopter hovering 68 feet above a boat in distress drops a life raft. The height in feet of the raft above the water can be modeled by , where t is the time in seconds after it is dropped. After how many seconds will the raft dropped from the helicopter hit the water?
What are they asking us in terms of our equation?
They are asking when is the height of the raft zero.

17. Example 3
A rescue helicopter hovering 68 feet above a boat in distress drops a life raft. The height in feet of the raft above the water can be modeled by , where t is the time in seconds after it is dropped. After how many seconds will the raft dropped from the helicopter hit the water?

19. Pythagorean Theorem

20. Example 4

21. Example 4

22. Example 4

23. Try This

24. Try This

25. Try This

26. Example 5

27. Example 5

28. Example 5

29. Example 5

30. Try This

31. Try This

32. Try This

33. Try This

35. Homework
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