MathDB
Maximum with condition a^2 + b^2 + c^2 = 2abc + 1

Source: Korea National 2012 Problem 4

August 19, 2012
inequalitiesinequalities proposed

Problem Statement

a,b,ca,b,c are positive numbers such that a2+b2+c2=2abc+1 a^2 + b^2 + c^2 = 2abc + 1 . Find the maximum value of (a−2bc)(b−2ca)(c−2ab) (a-2bc)(b-2ca)(c-2ab)
Back to ProblemsView on AoPS