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Notebook Table of content Page 1 1 1) 1-1 Sets of Numbers /1.2 Properties of Numbers 5.4 Solve Quadratics by Completing the Square 7) 2.3 & ) /5.3 Solve quadratics by factoring 11) 5.4 Solve Quadratics by Completing the Square
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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