MathDB
IMC 2006, problem 5, day 1

Source: awful, doesn't say so much

July 22, 2006
inequalitiesfunctionPrincetoncollegequadraticslogarithmsintegration

Problem Statement

Let a,b,c,da, b, c, d three strictly positive real numbers such that a2+b2+c2=d2+e2,a^{2}+b^{2}+c^{2}=d^{2}+e^{2}, a4+b4+c4=d4+e4.a^{4}+b^{4}+c^{4}=d^{4}+e^{4}. Compare a3+b3+c3a^{3}+b^{3}+c^{3} with d3+e3,d^{3}+e^{3},
Back to ProblemsView on AoPS