19.03.2012 - inegalitati [cls IX-X]
Scris: Mar Mar 20, 2012 2:00 pm
Fiind date numerele reale ne-negative $a,b,c,d$ care satisfac $a^{2}+b^{2}+c^{2}+d^{2}=1$, demonstrati inegalitatea
$\sqrt{1-a}+\sqrt{1-b}+\sqrt{1-c}+\sqrt{1-d}\geq \sqrt{a}+\sqrt{b}+\sqrt{c}+\sqrt{d}$.
sursa: Vasile Cirtoaje
$\sqrt{1-a}+\sqrt{1-b}+\sqrt{1-c}+\sqrt{1-d}\geq \sqrt{a}+\sqrt{b}+\sqrt{c}+\sqrt{d}$.
sursa: Vasile Cirtoaje