SOLUTION: 10.) Solve by any method. x-2- 8 sqart(x-2)+15=0

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Question 165188: 10.) Solve by any method.
x-2- 8 sqart(x-2)+15=0
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x-2- 8 sqart(x-2)+15=0
x%2B13+-8sqrt%28x-2%29+=+0
Isolate the radical
x%2B13+=+8sqrt%28x-2%29
Square both sides
x%5E2+%2B+26x+%2B+169+=+64%28x-2%29
x%5E2+%2B+26x+%2B+169+=+64x-128%29
collect terms
x%5E2+-+38x+%2B+297+=+0
Factor it
(x-27)*(x-11) = 0
x = 27, x = 11