1st ibmo - colombia 1985./q1
Source: Spanish Communities
April 6, 2006
ColumbiaalgebrapolynomialVietamodular arithmeticsymmetryalgebra unsolved
Problem Statement
Find all the triples of integers such that:
\begin{array}{ccc}a\plus{}b\plus{}c &\equal{}& 24\\ a^{2}\plus{}b^{2}\plus{}c^{2}&\equal{}& 210\\ abc &\equal{}& 440\end{array}