Question 772035
Square and simplify; then, square again and simplify.


FIRST SQUARING:
{{{(sqrt(x)+sqrt(y))^2=1^1}}}
{{{x+2*sqrt(x)sqrt(y)+y=1}}}
{{{sqrt(x)sqrt(y)=(1-x-y)/2}}}


SECOND SQUARING:
{{{(sqrt(x)sqrt(y))^2=((1-x-y)/2)^2}}}
{{{xy=(1/4)(1-2x-2y+x^2+2xy+y^2)}}}
.
{{{1/4-2x/4-2y/4+x^2/4+2xy/4+y^2/4-xy=0}}}
ONE FORM OF FINAL RESULT: {{{highlight((x^2+y^2-2xy-2x-2y+1)/4=0)}}}