SOLUTION: Please help with this problem: sqrt(2x+3) + sqrt(x-2) =2

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Question 870032: Please help with this problem:
sqrt(2x+3) + sqrt(x-2) =2

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
I don't this can have a solution, but let's see.
:

subtrac sqrt(x-2) from both sides

Square both sides, the right side needs to be FOILed



combine like terms on the left


square both sides again, the left side is FOILed


x^2 + 2x - 16x + 1 + 32 = 0
x^2 - 14x + 33 = 0
Factors to
(x-11)(x-3) = 0
Two solutions
x = 11
x = 3
Try both solutions in the original problem, neither works, so there is no solution

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