SOLUTION: Please help me solve this equation {{{sqrt(x)+sqrt(y)=1}}}

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Question 772035: Please help me solve this equation
sqrt%28x%29%2Bsqrt%28y%29=1
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this equation
sqrt%28x%29%2Bsqrt%28y%29=1
--------------
Solve for what?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Square and simplify; then, square again and simplify.

FIRST SQUARING:
%28sqrt%28x%29%2Bsqrt%28y%29%29%5E2=1%5E1
x%2B2%2Asqrt%28x%29sqrt%28y%29%2By=1
sqrt%28x%29sqrt%28y%29=%281-x-y%29%2F2

SECOND SQUARING:
%28sqrt%28x%29sqrt%28y%29%29%5E2=%28%281-x-y%29%2F2%29%5E2
xy=%281%2F4%29%281-2x-2y%2Bx%5E2%2B2xy%2By%5E2%29
.
1%2F4-2x%2F4-2y%2F4%2Bx%5E2%2F4%2B2xy%2F4%2By%5E2%2F4-xy=0
ONE FORM OF FINAL RESULT: highlight%28%28x%5E2%2By%5E2-2xy-2x-2y%2B1%29%2F4=0%29