A110­5CompletingTheSquareFall14.notebook
April 27, 2015
Algebra 1
Ch.10 Notes Page 60
P60 10­5 Completing the Square
Sep 2­8:31 AM
Solving Perfect Square Trinomials
Perfect Square Trinomial
a2 + 2ab + b2 = (a + b)2
a2 ­ 2ab + b2 = (a ­ b)2
x2 +10x + 25 = 36
Nov 18­12:10 PM
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A110­5CompletingTheSquareFall14.notebook
April 27, 2015
Completing the Square
A Method of Factoring
Try to create a Perfect Square Trinomial
a2 + 2ab + b2 = (a + b)2 Check to see if it is a a2 ­ 2ab + b2 = (a ­ b)2 Perfect Square Trinomial
x2 + 12x + 6 = 0 If Not...
1. Get C on Right Side of Equation.
2. Divide B by 2 and Square it.
3. Add this number to both sides.
4. Create Perfect Square Trinomial.
5. Undo Squaring.
6. Get x by itself.
A must be a 1. If it is not, divide everything in the problem by A to get the value of A to be a 1.
Nov 18­12:10 PM
Example:
x2 ­ 12x + 5 = 0
Nov 18­12:10 PM
2
A110­5CompletingTheSquareFall14.notebook
Example:
April 27, 2015
x2 + 8x + 11 = 0
Nov 18­12:10 PM
HW #74
10­5 P582 #1­18
Please put your name and class period at the top of
the homework. Also include the homework number.
Apr 30­8:45 AM
3
A110­5CompletingTheSquareFall14.notebook
Example:
April 27, 2015
A ≠1
5x2 + 20x = 40
Nov 18­12:12 PM
4