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Warm up 9/09

Warm up 9/09. Solve. 1. x 2 + 9x + 20 = 0 2. x 2 - 7x = - 12. 20. 4. 5. Turn and Talk. 9. What were the different strategies you used to solve each problems? Is completing the square or factoring easier for you? Why?. Shared. Be seated before the bell rings.

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Warm up 9/09

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  1. Warm up 9/09 Solve 1. x2 + 9x + 20 = 0 2. x2 - 7x = - 12 20 4 5 Turn and Talk 9 • What were the different strategies you used to solve each problems? • Is completing the square or factoring easier for you? Why? Shared

  2. Be seated before the bell rings Agenda: Warmup Go over hw Notes 5.6 DESK Warm-up (in your notes) homework • Ch 5 test tues 9/15

  3. Notebook 1 Table of content Page 12) 5.6 Quadratic Formula 7) 2.3 & 2.4 10) /5.3 Solve quadratics by factoring 11) 5.4 Solve Quadratics by Completing the Square 12) 5.6 Quadratic Formula 1

  4. 5.4: I can solve a quadratic equation by using square roots • 5.4: I can solve a quadratic equation by using the complete the square method. • 5.4: I can re-write a quadratic function in vertex form by completing the square. • 5.6: I can find the zeros/solutions of a quadratic equation using the quadratic formula Learning Targets

  5. 5.6 Quadratic Formula Use the quadratic formula to solve 5x2 + 6x = 2 ax2 + bx + c = 0 • Steps • Rearrange to standard form • Identify the a , b , c • Substitute into quad. formula • Solve/simplify 5x2 + 6x -2 = 0 a = 5 b= 6 c=-2

  6. Completing the Practice • Use the quadratic formula to solve the practice problem: x2 + 5x + 6 Turn and Talk: Compare your answer by factoring the quadratic and solving for x.

  7. The Discriminant b2 – 4ac 1. Positive  2 real solutions Example: x2 + 10x – 5 = 0 2. Zero  1 real solution Example: x2 + 4x + 4 = 0 3. Negative  No Real Solutions (2 complex solutions Example: 5x2 + 2x + 4 = 0 Turn and Talk: Why is √-80 not a real solution?

  8. Practice • Show and Explain how many solutions the following quadratic equations will have? 1. x2 + 8x + 16 = 0 2. x2 + 8x + 10 = 0 3. x2 + 5x + 7 = 0

  9. Complex Solutions i = √-1 i let’s us rewrite square roots without a negative number. Example: √-4 = Turn and Talk: Show and explain how to rewrite √-81 using i (√4)(√-1) = 2i

  10. More practice with rewriting

  11. An complex number has two parts Finding the complex zeros of Quadratic Function x2 –2x + 5 = 0

  12. Quadratic formula Practice • In pairs, Find the complex zeros of each. 1. x2 + 10x + 35 = 0 2. x2+ 4x + 13 = 0 3.x2 - 8x = -18

  13. Closer : Summarize: Write down one different thing each group member learn today into your notes. http://www.showme.com/sh/?h=eeY9fKi

  14. Additional Practice

  15. Quadratic formula Practice • In pairs, • Solve using the quadratic formula 1. x2+ 5x + 3 = 0 2. 3x2+ 10x + 7= 0 3.x2+ 11x = -6 4. x2 + 10x = 200

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