2011 OIM Problems/Problem 2
Problem
Find all positive integers 
for which there are three non-zero integers 
such that
![\[x+y+z=0,\;\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{n}\]](http://latex.artofproblemsolving.com/b/3/a/b3a6380d645d9bd57f0122b6c16364e0ea39127c.png)
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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