MathDB

2

Part of 2010 Greece National Olympiad

Problems(1)

Inequality

Source: Greek olympiad - 2010, senior , today, problem - 2

2/27/2010
If x,y x,y are positive real numbers with sum 2a 2a, prove that : x^3y^3(x^2\plus{}y^2)^2 \leq 4a^{10} When does equality hold ? Babis
inequalitiesinequalities proposed