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

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

3. Notebook Table of content Page 1 1 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 12) 5.6 Quadratic Formula

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. ax 2 + bx + c = 0 Use the quadratic formula to solve 5x 2 + 6x = 2 Steps 1.Rearrange to standard form 2.Identify the a, b, c 3.Substitute into quad. formula 4.Solve/simplify 5.6 Quadratic Formula 5x 2 + 6x -2 = 0 a = 5 b= 6 c=-2

6. Completing the Practice Use the quadratic formula to solve the practice problem: x 2 + 5x + 6 Turn and Talk: Compare your answer by factoring the quadratic and solving for x.

7. The Discriminant b 2 – 4ac 1. Positive  2 real solutions Example: x 2 + 10x – 5 = 0 2. Zero  1 real solution Example: x 2 + 4x + 4 = 0 3. Negative  No Real Solutions (2 complex solutions Example: 5x 2 + 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. x 2 + 8x + 16 = 0 2. x 2 + 8x + 10 = 0 3. x 2 + 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 x 2 –2x + 5 = 0

12. Quadratic formula Practice In pairs, Find the complex zeros of each. 1. x 2 + 10x + 35 = 02. x 2 + 4x + 13 = 0 3. x 2 - 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, 1.Solve using the quadratic formula 1. x 2 + 5x + 3 = 0 2. 3x 2 + 10x + 7 = 0 3. x 2 + 11x = -6 4. x 2 + 10x = 200