SOLUTION: Solve. x^2 � 10x + 16 = 0

Question 103666: Solve. x^2 � 10x + 16 = 0
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
x^2 � 10x + 16 = 0
You can factor this equation into a form:

where

When you look at factors of 16 (1,16),(2,8),(4,4), you can pick out the factor pair that sums to 10 that is (2,8).
Now you just need to get the signs right.
They need to sum to -10, so you can use -2 and -8 since
and
So your equation becomes

and
x=2 and x=8 make this equation true.
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