SOLUTION: Solve. x^2 – 10x + 16 = 0

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Question 103666: Solve. x^2 – 10x + 16 = 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x^2 – 10x + 16 = 0
You can factor this equation into a form:
%28x%2Ba%29%28x%2Bb%29=0
where
a%2Bb=-10
a%2Ab=16
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
-2%2B%28-8%29=-10+and %28-2%29%2A%28-8%29=16
So your equation becomes
x%5E2-10x%2B16=%28x%2B%28-2%29%29%28x%2B%28-8%29%29=0
x%5E2-10x%2B16=%28x-2%29%28x-8%29=0
%28x-2%29=0 and %28x-8%29=0
x=2 and x=8 make this equation true.