Concursul GM "Nicolae Teodorescu" 2009, problema 3
Posted: Tue Aug 18, 2009 7:47 pm
Consideram numerele \( a,b,c,d>1 \) astfel incat \( a+b+c+d=8 \). Sa se demonstreze inegalitatea: \( a^{a^2}b^{b^2}c^{c^2}d^{d^2} \ge 65536 \).
Viorel Tudoran, Ucu Crisan
Viorel Tudoran, Ucu Crisan