1 / 34

Do Now

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

baileycarolyn
Download Presentation

Do Now

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related