SOLUTION: Please help me solve this equation {{{square root of x - square root of x-5 =1}}}

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Question 258224: Please help me solve this equation square+root+of+x+-+square+root+of+x-5+=1
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
sqrt%28x%29-sqrt%28x-5%29+=+1 Add sqrt%28x-5%29 to both sides.
sqrt%28x%29+=+sqrt%28x-5%29%2B1 square both sides.
%28sqrt%28x%29%29%5E2+=+%28sqrt%28x-5%29%2B1%29%5E2
x+=+%28x-5%29%2B2%2Asqrt%28x-5%29%2B1 Simplify.
x+=+x-4%2B2sqrt%28x-5%29 Add 4 to both sides.
x%2B4+=+x%2B2sqrt%28x-5%29 Subtract x from both sides.
4+=+2sqrt%28x-5%29 Divide both sides by 2.
2+=+sqrt%28x-5%29 Square both sides.
4+=+x-5 Add 5 to both sides.
9+=+x or highlight%28x+=+9%29
Check:
sqrt%28x%29-sqrt%28x-5%29+=+1 Substitute x = 9.
sqrt%289%29-sqrt%289-5%29+=+1 Evaluate.
3-2+=+1