MathDB
Interesting Inequality

Source: Moldova TST 2014, Second Day, Problem 2

March 30, 2014
inequalitiesinequalities proposed

Problem Statement

Let a,b,ca,b,c be positive real numbers such that abc=1abc=1. Determine the minimum value of E(a,b,c)=∑a3+5a3(b+c)E(a,b,c) = \sum \dfrac{a^3+5}{a^3(b+c)} .
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