Shortlist 6

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

Shortlist 6

Post by Antonache Emanuel »

Fie \( f\in\mathbb[X] \) polinomul f(X)=\( x^{2003}+a_{2002}*X^{2002}+...+a_1*X+a_0 \) cu toate radacinile de modul 1. Daca \( a_0 \) este diferit de 1, atunci numarul: \( \frac{a_{2002}-a_1}{1-a_0} \) este real.
Valentin Vornicu, Shortlist 2003
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