SOLUTION: sqrt(x+1)-sqrt(x-1)=2

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Question 213787: sqrt(x+1)-sqrt(x-1)=2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%2B1%29-sqrt%28x-1%29 = 2
:
Add sqrt%28x-1%29 to both sides
sqrt%28x%2B1%29 = sqrt%28x-1%29%2B2
:
Square both sides, FOIL the right side
x + 1 = (x-1) + 4sqrt%28x-1%29 + 4
:
x + 1 = x - 1 + 4 + 4sqrt%28x-1%29
:
x + 1 = x + 3 + 4sqrt%28x-1%29
:
x - x + 1 - 3 = 4sqrt%28x-1%29
:
-2 = 4sqrt%28x-1%29
:
Square both sides
4 = 16(x - 1)
:
4 = 16x - 16
:
4 + 16 = 16x
:
20 = 16x
x = 20%2F16
x = 1.25; however substitution in the original equation reveals this is not a solution. There is no solution