OSN 2002 Problem 3

Find all solutions (real and complex) for $x,y,z$ , given that: $x+y+z = 6 x^2+y^2+z^2 = 12 x^3+y^3+z^3 = 24$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.