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\[ = 3n^2 + 5n - 3n^2 + n + 2 \] - AMAZONAWS
\[ = 3n^2 + 5n - 3n^2 + n + 2 \] - AMAZONAWS
📅 March 6, 2026
👤 scraface
Mar 06, 2026
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📌 Solution: Let $ v = \sqrt{u} $, so $ u = v^2 $. Substituting into the equation gives $ v^3 - 4v^2 + 3v = 0 $. Factoring yields $ v(v^2 - 4v + 3) = 0 $, which simplifies to $ v(v-1)(v-3) = 0 $. Thus, $ v = 0, 1, 3 $, corresponding to $ u = 0, 1, 9 $. The sum of the roots is $ 0 + 1 + 9 = 10 $. oxed{10}
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