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6.4 Completing the Square

6.4 Completing the Square. The Square Root Property. What does c equal to make the quadratic equation a prefect square. x 2 + 16x + c ; ( x + ) 2. Square Root Property. Solve x 2 – 16 = 0 Factor into (x + 4)(x – 4) = 0 So the answers are 4, -4 This can be solve another way

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6.4 Completing the Square

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  1. 6.4 Completing the Square The Square Root Property

  2. What does c equal to make the quadratic equation a prefect square x 2 + 16x + c ; ( x + )2

  3. Square Root Property Solve x2 – 16 = 0 Factor into (x + 4)(x – 4) = 0 So the answers are 4, -4 This can be solve another way There are always two answers.

  4. Solve Using factoring and Square Root property x2 + 16x + 64 = 36 (x + 8)(x + 8) = 36 (x + 8)2 = 36

  5. Solve Using factoring and Square Root property (x + 8)2 = 36

  6. Solve x2 – 10x + 25 = 12 Factor

  7. Solve x2 – 10x + 25 = 12 Factor

  8. Solve x2 – 10x + 25 = 12 Factor

  9. Complete the Square In case the quadratic equation is not a prefect square, we can force this to happen. If a = 1, then we move c to the other side and add half of b squared to both side of the equation.

  10. Complete the Square If a = 1, then we move c to the other side and add half of b squared to both side of the equation.

  11. Solve by Completing the Square

  12. If a ≠ 1

  13. Solve 3x2 -2x – 1 = 0

  14. Solve 3x2 -2x – 1 = 0

  15. Solve 3x2 -2x – 1 = 0

  16. Solve 3x2 -2x – 1 = 0

  17. Solve x2 + 2x + 3 = 0 Solve by completing the square.

  18. Solve x2 + 2x + 3 = 0 Solve by completing the square.

  19. Solve x2 + 2x + 3 = 0 Solve by completing the square.

  20. Homework Page 310 – 311 # 15 – 17 odd 25 – 47 odd

  21. Homework Page 310 – 311 # 14 – 18 even 24 – 40 even

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