Inegalitate neomogena

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Radu Titiu
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Inegalitate neomogena

Post by Radu Titiu »

Daca \( a,b,c>0 \) aratati ca:

\( (a-b)^{2}+(b-c)^{2}+(c-a)^{2}+\frac{5ab+1}{a+b}+\frac{5bc+1}{b+c}+\frac{5ca+1}{c+a}\geq 2(a+b+c)+3 \)
A mathematician is a machine for turning coffee into theorems.
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