2012 Indonesia MO Problems/Problem 7
Revision as of 07:59, 20 December 2024 by Skill issue7 (talk | contribs) (Created page with "Problem 7 Let <math>n</math> be a positive integer. Show that the equation<cmath>\sqrt{x}+\sqrt{y}=\sqrt{n}</cmath>have solution of pairs of positive integers <math>(x,y)</mat...")
Problem 7
Let 
be a positive integer. Show that the equation![\[\sqrt{x}+\sqrt{y}=\sqrt{n}\]](http://latex.artofproblemsolving.com/2/c/c/2cc4348f76530619cb16625e83dfe6fa4ebb15f4.png)
have solution of pairs of positive integers 
if and only if is divisible by some perfect square greater than 
.
test (sorry)
