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Source: India IMO Training Camp 2016, Practice test 2, Problem 2

July 22, 2016
functionfunctional equationalgebra

Problem Statement

Find all functions f:Rā†’Rf:\mathbb R\to\mathbb R such that f(x2+xf(y))=xf(x+y)f\left( x^2+xf(y)\right)=xf(x+y) for all reals x,yx,y.
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