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Introduction to Solving Quadratic Equations

Introduction to Solving Quadratic Equations. Objective: Solve quadratic equations by taking square roots. Square Roots. Square Roots. Example 1. Example 1. Try This. Solve . Give exact solutions. Then approximate the solution to the nearest hundredth.

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Introduction to Solving Quadratic Equations

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

  2. Square Roots

  3. Square Roots

  4. Example 1

  5. Example 1

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

  7. 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

  8. Example 2

  9. Example 2

  10. Try This • Solve

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

  12. 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?

  13. 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?

  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? • What are they asking us in terms of our equation? • They are asking when is the height of the raft zero.

  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?

  16. Pythagorean Theorem

  17. Example 4

  18. Example 4

  19. Example 4

  20. Try This

  21. Try This

  22. Try This

  23. Example 5

  24. Example 5

  25. Example 5

  26. Example 5

  27. Try This

  28. Try This

  29. Try This

  30. Try This

  31. Homework • Pages 286-287 • 15-43 odd

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