SOLUTION: How many ordered pairs of positive integers (x,y) satisfy the equation x= (4-x)/(y^2-x)?

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Question 1132076: How many ordered pairs of positive integers (x,y) satisfy the equation x= (4-x)/(y^2-x)?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How many ordered pairs of positive integers (x,y) satisfy the equation x=+%284-x%29%2F%28y%5E2-x%29?
We know the numerator has to be more or equal to the denominator to give us an integer.
Also we know that x cannot equal 4.
I see only one pair of positive integers
x=1, y=2