SOLUTION: {{{sqrt(x)+sqrt(x-7)=21/sqrt(x-7)}}} Please help me find solutions for this ! Thank you :D

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Question 438756: sqrt%28x%29%2Bsqrt%28x-7%29=21%2Fsqrt%28x-7%29
Please help me find solutions for this ! Thank you :D
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(x)+sqrt(x-7)=21/sqrt(x-7
..
sqrt(x)+sqrt(x-7)=21/sqrt(x-7)
LCD: sqrt(x-7)
sqrt(x^2-7x)+x-7=21
sqrt(x^2-7x)=28-x
square both sides
x^2-7x=28^2-56x+x^2
49x=28^2=784
x=784/49
x=16 (ans)