SOLUTION: Solve √(x+6)+√(x)=3 for x with clear answer please

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Question 1054083: Solve √(x+6)+√(x)=3 for x with clear answer please
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Two irrational expression, power of one-half, each; squaring done two times. Watch for either solution being incorrect for the original equation.

sqrt%28x%2B6%29=3-sqrt%28x%29
x%2B6=9-6%2Asqrt%28x%29%2Bx
0=3-6sqrt%28x%29
6%2Asqrt%28x%29=3
sqrt%28x%29=1%2F2
x=1%2F4-------------seems to be only this solution; none others occur.

Check if you want to be sure.
sqrt%281%2F4%2B6%29%2Bsqrt%281%2F4%29=what
sqrt%2825%2F4%29%2B1%2F2
5%2F2%2B1%2F2
6%2F2=3
Check works.