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Regional Olympiad - FBH 2013 Grade 9 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2013

September 24, 2018

algebrainequalities

Problem Statement

x

and

y

are real numbers such that

x^{2013}+y^{2013}>x^{2012}+y^{2012}

, prove that

x^{2014}+y^{2014}>x^{2013}+y^{2013}