Inegalitate neomogena
Posted: Sat Oct 25, 2008 11:23 pm
Daca \( a,b,c>0 \) aratati ca:
\( (a-b)^{2}+(b-c)^{2}+(c-a)^{2}+\frac{5ab+1}{a+b}+\frac{5bc+1}{b+c}+\frac{5ca+1}{c+a}\geq 2(a+b+c)+3 \)
\( (a-b)^{2}+(b-c)^{2}+(c-a)^{2}+\frac{5ab+1}{a+b}+\frac{5bc+1}{b+c}+\frac{5ca+1}{c+a}\geq 2(a+b+c)+3 \)