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Algebra 📊 Level 4

Vieta's Theorem

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Let $r_1, r_2, r_3$ be the three roots of the cubic polynomial $2x^3 - 4x^2 + 7x - 5 = 0$. Evaluate the sum of their reciprocals: $$\frac{1}{r_1} + \frac{1}{r_2} + \frac{1}{r_3}$$

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