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1989 Federal Competition For Advanced Students, P2
5
real solutions
real solutions
Source: Austria 1989
July 10, 2009
Vieta
algebra unsolved
algebra
Problem Statement
Find all real solutions of the system: x^2\plus{}2yz\equal{}x, y^2\plus{}2zx\equal{}y, z^2\plus{}2xy\equal{}z.
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