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2017 JBMO Problems/Problem 2

Revision as of 14:38, 17 September 2017 by Leonariso (talk | contribs)

Problem

Let $x,y,z$ be positive integers such that $x\neq y\neq z \neq x$ .Prove that \[(x+y+z)(xy+yz+zx-2)\geq 9xyz.\] When does the equality hold?

Solution

See also

2017 JBMO (Problems • Resources)
Preceded by
Problem 1 		Followed by
Problem 3
1 • 2 • 3 • 4
All JBMO Problems and Solutions
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