IMO LONGLISTED PROBLEM 1971

Discussion on International Mathematical Olympiad (IMO)
MATHPRITOM
Posts:190
Joined:Sat Apr 23, 2011 8:55 am
Location:Khulna
IMO LONGLISTED PROBLEM 1971

Unread post by MATHPRITOM » Sun May 01, 2011 1:16 pm

solve it in integers.
$ x+y+z=3,
x^3+y^3+z^3=15,
x^5+y^5+z^5=83.$

Post Reply