SE-SKOLORNAS 2002 Problem 5

The reals $a, b$ satisfy $\begin{cases} a^3 - 3a^2 + 5a - 17 = 0 b^3 - 3b^2 + 5b + 11 = 0 .\end{cases}$ Find $a+b$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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