SOLUTION: x*sqrt(1+y^2)+y*sqrt(1+x^2)=0

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Question 963813: x*sqrt(1+y^2)+y*sqrt(1+x^2)=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Asqrt%281%2By%5E2%29%2By%2Asqrt%281%2Bx%5E2%29=0
x%2Asqrt%281%2By%5E2%29=-y%2Asqrt%281%2Bx%5E2%29
x%5E2%281%2By%5E2%29=y%5E2%281%2Bx%5E2%29
x%5E2%2Bx%5E2y%5E2=y%5E2%2By%5E2x%5E2
x%5E2=y%5E2
Two solutions:
y=x and y=-x
Verify,
y=x
x%2Asqrt%281%2Bx%5E2%29%2Bx%2Asqrt%281%2Bx%5E2%29=0
False, so this is not a solution.
.
.
.
y=-x
x%2Asqrt%281%2Bx%5E2%29-x%2Asqrt%281%2Bx%5E2%29=0
0=0
True.
.
.
.
highlight%28y=-x%29