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.

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Presentation transcript:

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

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

Notebook Table of content Page 1 1 7) 2.3 & ) /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

●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

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

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.

The Discriminant b 2 – 4ac 1. Positive  2 real solutions Example: x x – 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?

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

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

More practice with rewriting

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

Quadratic formula Practice In pairs, Find the complex zeros of each. 1. x x + 35 = 02. x 2 + 4x + 13 = 0 3. x 2 - 8x = -18

Closer : Summarize: Write down one different thing each group member learn today into your notes.

Additional Practice

Quadratic formula Practice In pairs, 1.Solve using the quadratic formula 1. x 2 + 5x + 3 = x x + 7 = 0 3. x x = x x = 200