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Find the number of ordered pairs  of positive integers that satisfy
 

\[\frac{x}{y} = \frac{225}{xy} + \frac{y}{x}.\]

 

Detailed work please! :::::(

 Apr 12, 2020
 #1
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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)

 Apr 12, 2020

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