SOLUTION: solve x= sqrt (x-2) + 2

Question 627206: solve x= sqrt (x-2) + 2
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
solve x = sqrt (x-2) + 2
subtract 2 from both sides
x - 2 =
square both sides
(x-2)^2 = x - 2
FOIL (x-2)(x-2)
x^2 - 4x + 4 = x - 2
combine like terms on the left
x^2 - 4x - x + 4 - 2 = 0
x^2 - 3x + 2 = 0
Factor
(x-2)(x-1) = 0
two solutions
x = 2
x = 1
:
Check both solutions in the original equation
x = 1, you have square root of neg number,
therefore
x = 2 is the only real solution
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