KöMaL 2024 B5384

Prove that if $a$ , $b$ , $c>0$ and $a^2+b^2+c^2=abc$ , then $2(a+b+c)+\frac{a^3}{bc}+\frac{b^3}{ca}+\frac{c^3}{ab} \le abc$ .

Official text KöMaL. Quoted with source.

Solutions

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