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Home » The time taken to return from City B to City A is \( racd100 \) hours. - Feedz API

The time taken to return from City B to City A is \( racd100 \) hours. - Feedz API

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 = \( 5,000 \times 1.126825 \)

📌 ≈ $5,634.13

📌 #### $5,634.13Question: Let $ f(x) $ be a polynomial such that $ f(x) = x^4 - 6x^3 + 11x^2 - 6x + 1 $. Find the sum of the reciprocals of the roots of $ f(x) $.

📌 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

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