IMAC 2010 Ziua a doua Problema 6

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Antonache Emanuel
Euclid
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Joined: Sat Feb 28, 2009 4:15 pm
Location: Targoviste, Dambovita

IMAC 2010 Ziua a doua Problema 6

Post by Antonache Emanuel »

Fie numerele reale \( a,b,c\in[0,\infty) \) astfel incat \( a+b+c=2 \). Sa se arate ca:
\( \frac{bc}{\sqrt[4]{3a^2+4}}+\frac{ca}{\sqrt[4]{3b^2+4}}+\frac{ab}{\sqrt[4]{3c^2+4}}\le\frac{2*\sqrt[4]{3}}{3} \)
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