solve it in integers.
$ x+y+z=3,
x^3+y^3+z^3=15,
x^5+y^5+z^5=83.$
IMO LONGLISTED PROBLEM 1971
Discussion on International Mathematical Olympiad (IMO)
-
- Posts:190
- Joined:Sat Apr 23, 2011 8:55 am
- Location:Khulna
Unread post by MATHPRITOM » Sun May 01, 2011 1:16 pm
Return to “International Mathematical Olympiad (IMO)”
Jump to
- General Discussion
- ↳ News / Announcements
- ↳ Introductions
- ↳ Social Lounge
- ↳ Site Support
- ↳ Test Forum
- ↳ Teachers' and Parents' Forum
- Mathematics
- ↳ Primary Level
- ↳ Junior Level
- ↳ Secondary Level
- ↳ Higher Secondary Level
- ↳ College / University Level
- Olympiads & Other Programs
- ↳ Divisional Math Olympiad
- ↳ Primary: Solved
- ↳ Junior: Solved
- ↳ Secondary: Solved
- ↳ H. Secondary: Solved
- ↳ National Math Olympiad (BdMO)
- ↳ National Math Camp
- ↳ Asian Pacific Math Olympiad (APMO)
- ↳ International Olympiad in Informatics (IOI)
- ↳ International Mathematical Olympiad (IMO)
- Olympiad Level
- ↳ Geometry
- ↳ Number Theory
- ↳ Algebra
- ↳ Combinatorics
- Sciences
- ↳ Physics
- ↳ Chemistry
- ↳ Computer Science
- ↳ Biology
- ↳ Astronomy & Astrophysics