Understand the problem
Source of the problem
Regional Math Olympiad, 2019 Problem 3
Start with hints
The clue: Number 5 in the right-hand side! We will be applying AM-GM inequality. But first, to get the 5 on the right, we need 5 terms in the left (or bunch of five terms).
Try to use a+b+c =1 to cook it up!
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