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

Question 526362: (x-3)(x-5)=9
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
(x-3)(x-5)=9
.
x^2 -5x -3x +15 = 9
.
x^2 -8x +15-9 = 0
.
x^2 -8x +6 = 0 does not factor
.
complete square
.
x^2 -8x = -6
.
x^2 -8x + 16 = -6+16
.
(x-4)^2 = 10
.
x-4 = +sqrt(10)
or
x-4 = -sqrt(10)
.
x = -sqrt(10) +4 = .8377223398316205
.
x = +sqrt(10)+4 = 7.16227766016838
.

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