Inegalitate conditionata
Posted: Thu Feb 05, 2009 4:02 pm
Daca \( a_i>0\ ,\ i=\overline{1,5} \) si \( a_1+a_2+a_3+a_4+a_5=1 \) , demonstrati ca :
\( (\frac{1}{a_1}-1)(\frac{1}{a_2}-1)...(\frac{1}{a_5}-1)\ge 1024 \) .
\( (\frac{1}{a_1}-1)(\frac{1}{a_2}-1)...(\frac{1}{a_5}-1)\ge 1024 \) .