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Do Now

Do Now. Think about 3 interesting facts about yourself! What is your favorite food? Are you involved in any school activities? Do you have any pets? What is your favorite type of music? What is your favorite TV show? Have you visited any interesting places recently?. Go Over Quizzes.

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Do Now

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  1. Do Now • Think about 3 interesting facts about yourself! • What is your favorite food? • Are you involved in any school activities? • Do you have any pets? • What is your favorite type of music? • What is your favorite TV show? • Have you visited any interesting places recently?

  2. Go Over Quizzes

  3. 1.7 Completing the Square Objectives: SWBAT solve quadratic equations by completing the square

  4. Solve the quadratic equation by finding the square roots x² - 8x + 16 = 25

  5. Page 51# 1 and # 2 1. x² + 6x +9 = 36 2. x² - 10x + 25 = 1

  6. Completing the square x² + bx

  7. Completing the square

  8. Completing the square

  9. Completing the square

  10. Completing the square • How can we right this algebraically?

  11. Examples: Make a perfect square trinomial Find the value of c that makes x² + 16x + c a perfect square trinomial. Then write the expression as the square of a binomial.

  12. Examples: Make a perfect square trinomial

  13. Page 51Find the value of c that makes a perfect square trinomial. Then write the expression as the squareof a binomial.# 4 : #5: x² + 14x + c x² + 22x + c

  14. Solving Equations ax² + bx + c = 0 ax² + bx + ___= -c ax² + bx + (b/2) ² = -c+(b/2) ² (ax+b/2) ²= -c+(b/2) ²

  15. Example: Solve ax² + bx + c = 0 when a=1 x² - 12x + 4 = 0 x² - 12x + ____ = -4 x² - 12x + (-12/2) ²= -4+(-12/2) ² x² - 12x + 36 = -4+36 (x-6) ² = 32 (x-6) = +-√(32) X=6+-√(32) X=6+4√2 X=6-4√2

  16. Solve the equation by completing the squarePage 52 #7) x² +6x + 4 = 0 #8) x² - 10x + 8 =0

  17. What about if ax² + bx+ c = 0 and a ≠ 1 2x² + 8x + 14 = 0 x² + 4x + 7 = 0 x² + 4x = -7 x² + 4x + (4/2)²= -7 + (4/2)² x² + 4x + 4= -7+4 (x+2)² = -3 x+2 = √-3 X= -2+-i√3

  18. Solve the equation by completing the square page 52 #10. 3x² + 12x - 18=0 #11. 6x(x+8) = 12

  19. Home Work • Page 54 • 3-5, 9-11, 14-16, 25-27, 29-31

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