Shortlist 20
Posted: Sun Mar 28, 2010 8:48 pm
Demonstrati ca daca \( a,b,c\in\mathbb[0,1] \), atunci:
\( \frac{a}{1+bc}+\frac{b}{1+ca}+\frac{c}{1+ab}+abc\le\frac{5}{2} \).
Vasile Pop, Cluj, Shortlist 2007
\( \frac{a}{1+bc}+\frac{b}{1+ca}+\frac{c}{1+ab}+abc\le\frac{5}{2} \).
Vasile Pop, Cluj, Shortlist 2007