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a>=b+c+d

Posted: Fri Mar 26, 2010 2:32 pm
by Claudiu Mindrila
Fie \( a,\ b,\ c,\ d \) numere reale pozitive a.i. \( a\ge b+c+d \). Sa se arate ca \( \left(a+b\right)\left(b+c\right)\left(c+d\right)\left(d+a\right)\ge20abcd \).

Dan St. Marinescu