TH-TMO 2007 Problem 7

Let $a, b, c$ be complex numbers such that $a+b+c = 1$ , $a^2+b^2+c^2 = 2$ and $a^3+b^3+c^3 = 3$ . Find the value of $a^4 + b^4 + c^4$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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