mateforum.ro Forum Index mateforum.ro

 
 FAQFAQ   SearchSearch   MemberlistMemberlist   UsergroupsUsergroups   RegisterRegister 
 ProfileProfile   Log in to check your private messagesLog in to check your private messages   Log inLog in 

OBMJ 2011 Problema 2

 
Post new topic   Reply to topic    mateforum.ro Forum Index -> Juniori -> Teoria Numerelor
View previous topic :: View next topic  
Author Message
PhantomR
Pitagora


Joined: 20 Mar 2011
Posts: 86

PostPosted: Sat Jul 02, 2011 6:54 pm    Post subject: OBMJ 2011 Problema 2 Reply with quote

Problema 2. Aflaţi toate numerele prime p pentru care există numere întregi pozitive x,y care satisfac ecuaţia
x(y^2-p)+y(x^2-p)=5p.
Back to top
View user's profile Send private message
harrypham
Euclid


Joined: 18 Jul 2011
Posts: 24

PostPosted: Mon Jul 18, 2011 6:34 am    Post subject: Reply with quote

Can You post thía Problem by English, Thanks
Back to top
View user's profile Send private message Visit poster's website
Laurian Filip
Site Admin


Joined: 25 Nov 2007
Posts: 473
Location: Bucuresti

PostPosted: Mon Jul 18, 2011 8:40 am    Post subject: Reply with quote

Problem 2, junior balkan mathematical olympiad 2011
Find all the prime numbers p such that there exist positive integers x,y that satisfy:
x(y^2-p)+y(x^2-p)=5p.
_________________
Bac Mat: Formule bacalaureat matematica
Triangle Solver: Rezolva orice triunghi
Gaseste Scrabble: Castiga la jocul cuvintelor
Resigilate PCG: Top oferte desigilate pcg + istoric pret
Back to top
View user's profile Send private message Visit poster's website
PhantomR
Pitagora


Joined: 20 Mar 2011
Posts: 86

PostPosted: Mon Jul 18, 2011 10:02 am    Post subject: Reply with quote

All JBMO 2011 problems are posted on the official site (http://jbmo2011-cyprus.eu/). You can also download them in languages other than Romanian or English.
Back to top
View user's profile Send private message
harrypham
Euclid


Joined: 18 Jul 2011
Posts: 24

PostPosted: Mon Jul 18, 2011 12:53 pm    Post subject: Reply with quote

Thanks, But can You post the solution in here!
Back to top
View user's profile Send private message Visit poster's website
Laurian Filip
Site Admin


Joined: 25 Nov 2007
Posts: 473
Location: Bucuresti

PostPosted: Mon Jul 18, 2011 1:10 pm    Post subject: Reply with quote

http://jbmo2011-cyprus.eu/images/stories/papers/solution_jbmo_2011.pdf
_________________
Bac Mat: Formule bacalaureat matematica
Triangle Solver: Rezolva orice triunghi
Gaseste Scrabble: Castiga la jocul cuvintelor
Resigilate PCG: Top oferte desigilate pcg + istoric pret
Back to top
View user's profile Send private message Visit poster's website
harrypham
Euclid


Joined: 18 Jul 2011
Posts: 24

PostPosted: Mon Jul 18, 2011 1:13 pm    Post subject: Reply with quote

Thank You very much, Rolling Eyes
Back to top
View user's profile Send private message Visit poster's website
Display posts from previous:   
Post new topic   Reply to topic    mateforum.ro Forum Index -> Juniori -> Teoria Numerelor All times are GMT + 2 Hours
Page 1 of 1

 
Jump to:  
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum



Powered by phpBB © 2001, 2005 phpBB Group