SOLUTION: What is the factored form of 4x^2-32x+164

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Question 681972: What is the factored form of 4x^2-32x+164
Found 2 solutions by Alan3354, Onmyoji.S:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the factored form of 4x^2-32x+164
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There's an obvious factor of 4, then it's prime.

Answer by Onmyoji.S(32) About Me  (Show Source):
You can put this solution on YOUR website!
4x²-32x+164=0
4x²-32x=-164
4(x²-8x)=-164
x²-8x=-41 （-8/2）²=16
x²-8x+16=-41+16 completing the square
（x-4)(x-4)=-25
(x-4)²=-25 factored form
x=+√25+4 x=+5+4 x=9
x=-√25+4 x=-5+4 x=-1 （√25=5）
so x=9，-1