Find the number of ordered pairs of positive integers that satisfy
\[\frac{x}{y} = \frac{225}{xy} + \frac{y}{x}.\]
Detailed work please! :::::(
for(x=1,x<100,x++) for(y=1,y<100,y++) if (x/y = 225/(x*y) + y/x) output(x,y)
Output: (25,20), (17,8)
