Internet Olympiad Problema 8

Moderators: Filip Chindea, Andrei Velicu, Radu Titiu

Post Reply
User avatar
Beniamin Bogosel
Co-admin
Posts: 710
Joined: Fri Mar 07, 2008 12:01 am
Location: Timisoara sau Sofronea (Arad)
Contact:

Internet Olympiad Problema 8

Post by Beniamin Bogosel »

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
Yesterday is history,
Tomorow is a mistery,
But today is a gift.
That's why it's called present. :)

Blog
Post Reply

Return to “Clasa a X-a”