SOLUTION: square root of 3x+1 minus the square root of x-1=2

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Question 944263: square root of 3x+1 minus the square root of x-1=2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%283x%2B1%29-sqrt%28x-1%29=2
sqrt%283x%2B1%29=sqrt%28x-1%29%2B2
3x%2B1=x-1%2B4sqrt%28x-1%29%2B4
2x-2=4sqrt%28x-1%29
2%28x-1%29=4sqrt%28x-1%29
x-1=2sqrt%28x-1%29
x%5E2-2x%2B1=4x-4
x%5E2-6x%2B5=0
%28x-1%29%28x-5%29=0
.
.
.
x-1=0
x=1
and
x-5=0
x=5
Now verify the solution in the original equation to make sure there are not false solutions.