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Find the square roots 1. √16 2. √36 3. √81 4. √49 5. √-25 6. √32. Do Now. Quadratic Formula. When it’s hip to “b 2 ” Given quadratic equations, students will find solutions using the quadratic formula. Quadratic formula: X =. x = 3 +/- √16 x = 3 +/- 4

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  1. Find the square roots 1. √16 2. √36 3. √81 4. √49 5. √-25 6. √32 Do Now

  2. Quadratic Formula When it’s hip to “b2” Given quadratic equations, students will find solutions using the quadratic formula.

  3. Quadratic formula: X =

  4. x = 3 +/- √16 x = 3 +/- 4 x = 3 + 4 x = 3 – 4 = 7 = -1

  5. x = 1 +/- √25 x = 1 +/- 5 x = 1 + 5 x = 1 – 5 = 6 = -4

  6. x = -5 +/- 1 2 x = -5 + 1 x = -5 - 1 2 2 x = -4 x = -6 2 2 x = -2 x = -3

  7. (I DO) Simplify: √48 √16 √3 4 √3 8 +/- √48 4 8 +/- 4√3 4 2 +/- √3

  8. Simplify: 1. 4 +/- √50 2. 3 +/- √32 2 4 3. -8 +/- √48 4. -1 +/- √14 6 -6

  9. Quadratic Formula Now let’s try plugging in the information and simplify. SOLVE: • 5x2 + 3x - 1 = 0 • 2x2 - 7x + 2 = 0

  10. RESPONSE CARDS Simplify: -8 +/- √48 6

  11. Can this be simplified?Thumbs up or down 3 +/- √32 4

  12. RESPONSE CARDS Simplify: 2 +/- √33 4

  13. RESPONSE CARDS Simplify: -1 +/- √14 -6

  14. Tell your partner what are the 4 ways to find a solution to a quadratic equation? • 1. Graphing • 2. X-Puzzle (Factoring) • 3. Square Root • 4. Completing the square

  15. Given: 2x2 - 5x + 4 = 0 How do we find the solutions? 8 What do we do? NO ANSWER! -5

  16. Quadratic formula: X =

  17. TheParty • A negativeboy • Wasn’t sure whether or not • To go to this radical party • Instead the boy wassquare • And he missed out on 4 awesome chicks • But it was all over at 2 am

  18. A negative boy - b

  19. Wasn’t sure whether or not ±

  20. To go to this radical party √

  21. Instead he was square ² b

  22. And he missed out on 4 awesome chicks - 4ac

  23. But it was all over at 2 am 2a

  24. When do we use the Q.F.? When trying to find solutions: First try: x - puzzle - Uh oh! x-puzzle doesn’t work! Second try: quadratic formula Write a sentence in your own words describing when to use the Q.F.

  25. Example 1: 2x2 - 5x + 4 = 0 a = 2 b = -5 c = 4 -(-5) (-5)2 (2)(4) (2)

  26. Example 3: 5x2 + 4x - 2 = 0 a = 5 b = 4 c = -2 -(4) (4)2 (5)(-2) (5)

  27. Example 2: 2x2 - 8x + 1 = 0 a = 2 b = -8 c = 1 -(-8) (-8)2 (2)(1) (2)

  28. -(-8) (-8)2 (2)(1) (2) Solutions!

  29. Quadratic Formula Comic • Fold paper into 6 boxes • Each box is part of the quadratic formula • Draw a picture to represent each part of the party • Due by Thurs/Friday

  30. Example 4: 3x2 - 5x + 1 = 0 a = 3 b = -5 c = 1 -(-5) (-5)2 (3)(1) (3)

  31. T.O.D. • Simplify: 4 +/- √24 2 2. Write the quadratic formula.

  32. 1. What are the solutions of 5x2 + 6x = - 1? 2. What are the x-intercepts of 2x2 – 5x + 4 = 0? Do Now

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