Shortlist 4
Posted: Sun Mar 28, 2010 7:28 pm
Daca \( a,b,c\in\mathbb{C} \) distincte si \( |a|=|b|=|c|=R \) iar k>0, aratati ca:
\( |-a+kb+kc|+|-b+kc+ka|+|-c+ka+kb|<=3(k+1)R \).
Calin Burdusel, Targoviste, Shortlist 2002
\( |-a+kb+kc|+|-b+kc+ka|+|-c+ka+kb|<=3(k+1)R \).
Calin Burdusel, Targoviste, Shortlist 2002