Inegalitate SHL 2005-1
Posted: Wed Mar 03, 2010 11:47 pm
Fie \( a,\ b,\ c>0 \) a. i. \( a+b+c\ge\frac{a}{b}+\frac{b}{c}+\frac{c}{a} \). Demonstrati ca \( \sum\frac{a^{3}c}{b\left(c+a\right)}\ge\frac{3}{2} \).
Cezar Lupu, lista scurta, 2005
Cezar Lupu, lista scurta, 2005