SOLUTION: (x-3)(x-5)=9

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Question 526362: (x-3)(x-5)=9
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
(x-3)(x-5)=9
.
x^2 -5x -3x +15 = 9
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x^2 -8x +15-9 = 0
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x^2 -8x +6 = 0 does not factor
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complete square
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x^2 -8x = -6
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x^2 -8x + 16 = -6+16
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(x-4)^2 = 10
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x-4 = +sqrt(10)
or
x-4 = -sqrt(10)
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x = -sqrt(10) +4 = .8377223398316205
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x = +sqrt(10)+4 = 7.16227766016838
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graph+%28500%2C500%2C-10%2C10%2C-10%2C10%2Cx%5E2+-8x+%2B6%29+