Difference between revisions of "2014 USAJMO Problems/Problem 3"

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==Problem==
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#REDIRECT [[2014 USAMO Problems/Problem 2]]
Let <math>\mathbb{Z}</math> be the set of integers. Find all functions <math>f : \mathbb{Z} \rightarrow \mathbb{Z}</math> such that <cmath>xf(2f(y)-x)+y^2f(2x-f(y))=\frac{f(x)^2}{x}+f(yf(y))</cmath> for all <math>x, y \in \mathbb{Z}</math> with <math>x \neq 0</math>.
 
 
 
==Solution==
 

Latest revision as of 18:37, 18 November 2020

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