[67] - Algebraic Systems for and from Math Contests

Nα λυθεί το σύστημα: \[ x^3 + 3x - 3 + \ln(x^2 - x + 1) = y \] \[ y^3 + 3y - 3 + \ln(y^2 - y + 1) = z \] \[ z^3 + 3z - 3 + \ln(z^2 - z + 1) = x \] Vietnamese Mathematical Olympiad 1994