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+ 0.50x = 0.35(3 + x) - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Given \( p+q = 10 \) and \( p^2 + q^2 = 58 \), we first find \( pq \) using:

📌 10^2 = 58 + 2pq

📌 = 58 + 2pq

📌 2pq = 42 \quad \Rightarrow \quad pq = 21

📌 p^3 + q^3 = (p+q)(p^2 - pq + q^2) = 10(58 - 21)

📌 p^3 + q^3 = 10 \times 37 = 370

📌 The value of \( p^3 + q^3 \) is:

📌 \boxed{370}

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