Inegalitate conditionata cu produs

Moderators: Laurian Filip, Beniamin Bogosel, Filip Chindea

Post Reply
alex2008
Leibniz
Posts: 464
Joined: Sun Oct 19, 2008 3:23 pm
Location: Tulcea

Inegalitate conditionata cu produs

Post by alex2008 »

Daca \( a,b,c > 0 \) astfel incat \( abc = 1 \) aratati ca :

\( \frac {a(1 + a + ab)}{a + 2b} + \frac {b(1 + b + bc)}{b + 2c} + \frac {c(1 + c + ca)}{c + 2a}\geq\ 3 \)
. A snake that slithers on the ground can only dream of flying through the air.
Top
Post Reply

Return to “Clasa a IX-a”