MathDB
2015 Taiwan TST Round 1 Quiz 3 Problem 1

Source: 2015 Taiwan TST Round 1 Quiz 3 Problem 1

July 12, 2015
inequalitiesTaiwanalgebraTaiwan TST 2015

Problem Statement

Let a,b,c,da,b,c,d be any real numbers such that a+b+c+d=0a+b+c+d=0, prove that 1296(a7+b7+c7+d7)2≤637(a2+b2+c2+d2)71296(a^7+b^7+c^7+d^7)^2\le637(a^2+b^2+c^2+d^2)^7
Back to ProblemsView on AoPS