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📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A city planner is analyzing a model where the traffic flow \( f(t) \) through an intersection is given by the polynomial \( f(t) = 4t^3 - 9t^2 + 6t - 1 \). Compute the sum of the roots of the equation \( f(t) = 0 \).

📌 To find the sum of the roots of the polynomial \( f(t) = 4t^3 - 9t^2 + 6t - 1 \), we use Vieta's formulas. For a cubic equation \( at^3 + bt^2 + ct + d = 0 \), the sum of the roots is given by \( -\frac{b}{a} \).

📌 Here, \( a = 4 \) and \( b = -9 \). Therefore, the sum of the roots is:

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