Warm up 9/08 1. Factor 22 9 7x x

2. Solve by Factor 24 12 9y x x

Be seated before the bell rings

DESK

homeworkWarm-up (in your notes)

Ch 5 test tues 9/15

Agenda:

WarmupGo over hw/Quiz

Notes 5.4 & 5.5

NotebookTable of content

Page1

1

1) 1-1 Sets of Numbers /1.2 Properties of Numbers

5.4 Solve Quadratics by Completing the Square

7) 2.3 & 2.4

10) /5.3 Solve quadratics by factoring

11) 5.4 Solve Quadratics by Completing the Square

● 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

5.4 Solve Quadratics by completing the square

5.4 Solve Quadratics by completing the square

Now try working backwards. Rewrite the following standard form quadratic expressions as perfect squares

2 10 25 27x x

5.4 : Solve Quadratics by completing the squareRewrite from standard form to Factor form. Solve: Example:

25 27x

5 27x

5 9 3x

5 3 3x 5 3 3x

http://www.glencoe.com/sites/common_assets/mathematics/ebook_assets/vmf/VMF-Interface.html

Complete the square:

Draw a sketch Rewrite Factor form and solve   

We would need to add in 13 ones to make it a square!

2 8 3 0x x 2 8 3 ___ 0 ____x x 13 13

2 8 16 13x x

24 13x

4 13x

4 13x

Variable terms on right side, constant on left

If needed

2/ 2b To both sides

To square factor form

By taking the square root.

2 12 ___ 32 ____x x 36 36

26 4x

6 2x

6 2x

4x 8x

2 8 ___ 6 ____x x 16 16

24 10x

4 10x

6 10x

2 6 ___ 27 ____x x 9 9

23 36x

3 6x

3 6x

3x 9x

2 5 ___ 3 ____x x 25/4 25/4

25 1343

x

5 133 4

x

5 133 2

x

10 3 136 6

x 10 3 13

6x or orSimplify

2 12 ___ 32 ____x x 36 36

26 4x

6 2x

6 2x

4x 8x