Inegalitate conditionata (2)
Posted: Tue Jun 30, 2009 2:43 pm
Daca \( a, b, c \in \math{R}_+^* \), \( \frac{1}{a}+ \frac{1}{b}+\frac{1}{c}\leq 3 \), demonstrati ca \( \frac{a^2+1}{\sqrt{a^2-a+1}}+ \frac{b^2+1}{\sqrt{b^2-b+1}}+ \frac{c^2+1}{\sqrt{c^2-c+1}}\geq 6 \).
I. V. Maftei si Mihai Haivas, Recreatii Matematice 1/2009
I. V. Maftei si Mihai Haivas, Recreatii Matematice 1/2009