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 \frac1r_i = \frac1r_1 + \frac1r_2 + \frac1r_3 + \frac1r_4 $. Using the identity $ \sum \frac1r_i = \frac\sum_i

📅 March 1, 2026 👤 scraface

Mar 01, 2026