Internet Olympiad Problema 8
Posted: Thu Dec 18, 2008 11:05 pm
Gasiti toate numerele naturale \( n \) pentru care exista numerele naturale \( a_i,b_i, i=1,...,n \) astfel incat \( (a_1^2+...+a_n^2)(b_1^2+...+b_n^2)-(a_1b_1+...+a_nb_n)^2=n+1 \).
Internet Olympiad, Ariel University, Samaria, Israel
Internet Olympiad, Ariel University, Samaria, Israel