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Inegalitate in 3 variabile

Posted: Tue Jul 07, 2009 3:29 pm
by Mateescu Constantin
Daca \( a,\ b,\ c\ge 0 \), demonstrati ca

\( 2(a^5+b^5)+c^5\ge \frac{5}{4}abc(a+b)^2 \).

Posted: Tue Jul 07, 2009 4:14 pm
by Marius Mainea
Se foloseste AM-GM.