SOLUTION: I have a question which states to find all the real solutions. If any of each equation where they appear a,b,m and n are positive constants square root of x + 1 + square root

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Question 53060: I have a question which states to find all the real solutions. If any of each equation where they appear a,b,m and n are positive constants
square root of x + 1 + square root of x-1 = square root of 2x+1
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x+%2B+1%29+%2B+sqrt%28x+-+1%29+=+sqrt%282x+%2B+1%29
2%2Asqrt%28x+%2B+1%29%2Asqrt%28x+-+1%29+%2B+%28x+%2B+1%29+%2B+%28x+-+1%29+=+2x+%2B+1
sqrt%28x+%2B+1%29%2Asqrt%28x+-+1%29+=+1%2F2
%28x+%2B+1%29%28x+-+1%29+=+1%2F4
x%5E2+=+5%2F4
x+=+sqrt%285%29%2F2 and x+=+-sqrt%285%29%2F2 ~> won't work because you can not take the square root of a negative value
Answer: sqrt%285%29%2F2