Solution: Let the roots of $ f(x) = x^4 - 6x^3 + 11x^2 - 6x + 1 $ be $ r_1, r_2, r_3, r_4 $. We are asked to find $ \sum_{i=1}^4 \frac{1}{r_i} = \frac{1}{r_1} + \frac{1}{r_2} + \frac{1}{r_3} + \frac{1}{r_4} $. Using the identity $ \sum \frac{1}{r_i} = \frac{\sum_{i<j<k} r_i r_j r_k}{r

Tue, 05 May 2026 03:05:57 +0000

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