SOLUTION: for what value of x and y is x/y=y/x?

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Question 1096187: for what value of x and y is x/y=y/x?
Found 2 solutions by ankor@dixie-net.com, jim_thompson5910:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Any value when x=y

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Fy=y%2Fx

x%2Ax=y%2Ay Cross multiply

x%5E2+=+y%5E2

x%5E2+-+y%5E2+=+0

%28x-y%29%28x%2By%29+=+0 Difference of Squares factoring rule

x-y=0 or x%2By+=+0

x=y or x+=+-y

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The solutions are: x=y or x+=+-y