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a^2=4a+117

 Nov 9, 2015
 #1
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+5

Solve for a:
a^2 = 4 a+117

Subtract 4 a+117 from both sides:
a^2-4 a-117 = 0

The left hand side factors into a product with two terms:
(a-13) (a+9) = 0

Split into two equations:
a-13 = 0 or a+9 = 0

Add 13 to both sides:
a = 13 or a+9 = 0

Subtract 9 from both sides:
Answer: | 
| a = 13                or a = -9

 Nov 9, 2015

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