MathDB

IMO LongList 1967, Socialists Republic Of Czechoslovakia 2

Source: IMO LongList 1967, Socialists Republic Of Czechoslovakia 2

December 16, 2004

algebrasystem of equationspolynomialIMO ShortlistIMO Longlist

Problem Statement

Find all real solutions of the system of equations:

\sum^n_{k=1} x^i_k = a^i

for

i = 1,2, \ldots, n.