BdMO National Higher Secondary 2019/2

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
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samiul_samin
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BdMO National Higher Secondary 2019/2

Unread post by samiul_samin » Mon Mar 04, 2019 9:08 am

Prove that,if $a,b,c$ are positive real numbers,
\[ \dfrac{a}{bc}+ \dfrac{b}{ca}+\dfrac{c}{ab}\geq \dfrac{2}{a}+\dfrac{2}{b}-\dfrac{2}{c}\]

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samiul_samin
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Re: BdMO National Higher Secondary 2019/2

Unread post by samiul_samin » Thu Mar 07, 2019 11:27 pm

Hint
$(a+b-c)^2\geq 0$
Problem Source
$2002$ Flanders Junior Olympiad
Solition

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