MathDB
3 variables inequality with abc=1

Source: Middle European Mathematical Olympiad 2012 - Team Compt. T-2

September 14, 2012
inequalitiesgeometryfunctionalgebrapolynomialinequalities proposed

Problem Statement

Let a,b a,b and c c be positive real numbers with abc=1 abc = 1 . Prove that 9+16a2+9+16b2+9+16c2≥3+4(a+b+c) \sqrt{ 9 + 16a^2}+\sqrt{ 9 + 16b^2}+\sqrt{ 9 + 16c^2} \ge 3 +4(a+b+c)
Back to ProblemsView on AoPS