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Inegalitate
Posted:
Thu Apr 09, 2009 2:36 pm
by
smileyRadu
Fie a,b,c,d numere reale strict pozitive cu
\( abcd=1 \)
, avand proprietatea
\( a\leq1\leq b\leq c\leq d \)
. Sa se arate ca
\( (a+1)(d+1)>3 \)
.
Gh. Szollosy
Posted:
Thu Apr 09, 2009 6:47 pm
by
maxim bogdan
Vezi
aici
. In loc de
\( 3 \)
poate fi pus
\( 3+\frac{3}{4d^3}. \)