VMO 1975 Problem 1

The roots of the equation $x^3 - x + 1 = 0$ are $a, b, c$ . Find $a^8 + b^8 + c^8$ .

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.