Question 1132097
1) x = (4-x)/(y^2-x)
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xy^2 -x^2 = x^2 -x +4
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xy^2 = x^2 -x +4
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y^2 = (x^2 -x +4)/x
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y = ((x^2 -x +4)/x)^(1/2)
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here is a graph of the equation
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{{{ graph( 300, 200, -6, 6, -4, 4, ((x^2 -x +4)/x)^(1/2), -((x^2 -x +4)/x)^(1/2) ) }}}
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There are two integer solutions to equation 1, namely (1,2) and (1, -2) but the problem requires both coordinates (x, y) to be positive, therefore (1, -2) is rejected 
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