NL-NWO 1991 Problem 4

Three real numbers $a,b,c$ satisfy the equations $a+b+c=3, a^2+b^2+c^2=9, a^3+b^3+c^3=24.$ Find $a^4+b^4+c^4$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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