Shortlist 4

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Antonache Emanuel
Euclid
Posts: 37
Joined: Sat Feb 28, 2009 4:15 pm
Location: Targoviste, Dambovita

Shortlist 4

Post by Antonache Emanuel »

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
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