Inegalitate cu radicali de ordin 2
Posted: Thu Jun 18, 2009 2:49 pm
Daca a, b, c sunt pozitive atunci
\( \sqrt{\frac{a^2(b^2+c^2)}{a^2+bc}}+\sqrt{\frac{b^2(c^2+a^2)}{b^2+ca}}+\sqrt{\frac{c^2(a^2+b^2)}{c^2+ba}}\le a+b+c \)
M.R. 3/2009
\( \sqrt{\frac{a^2(b^2+c^2)}{a^2+bc}}+\sqrt{\frac{b^2(c^2+a^2)}{b^2+ca}}+\sqrt{\frac{c^2(a^2+b^2)}{c^2+ba}}\le a+b+c \)
M.R. 3/2009