Inegalitate in numere reale
Posted: Sun Jul 12, 2009 1:33 pm
Daca \( x, y, z \in \mathb{R} \), atunci sa se demonstreze ca:
\( x(x+y)^3+y(y+z)^3+z(z+x)^3\geq \frac{8}{27}(x+y+z)^4 \)
\( x(x+y)^3+y(y+z)^3+z(z+x)^3\geq \frac{8}{27}(x+y+z)^4 \)