MathDB
Czech republic,district round,2008,problem 1

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February 25, 2012
algebra unsolvedalgebra

Problem Statement

Let nn be an integer greater than 11.Find all pairs of integers (s,t)(s,t) such that equations: xn+sx=2007x^n+sx=2007 and xn+tx=2008x^n+tx=2008 have at least one common real root.