Y by Nathanisme, Mango247
Let
are positive real numbers, prove that
where 

![\[\frac{a^2}{b^2}+\frac{b^2}{c^2}+\frac{c^2}{a^2} \geqslant \frac{a}{b}+\frac{b}{c}+\frac{c}{a}+\frac{k(a-b)(b-c)(c-a)}{abc},\]](http://latex.artofproblemsolving.com/a/e/8/ae87c7d15eabcaf660edbf924bfd8b27f048da72.png)

This post has been edited 1 time. Last edited by Nguyenhuyen_AG, May 11, 2020, 6:19 AM
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