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Home » \( x^2 - x - 8 = 0 \) - DNSFLEX

\( x^2 - x - 8 = 0 \) - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 #### 45**Question:

📌 A climate risk analyst finds that the total emissions from two sectors in a city, \( x \) and \( y \), satisfy \( x + y = 100 \) tons and \( x^2 + y^2 = 5200 \) tons\(^2\). Find \( x^3 + y^3 \).

📌 We start with the given equations:

📌 x + y = 100

📌 x^2 + y^2 = 5200

📌 Plugging in the known values:

📌 100^2 = 5200 + 2xy

📌 = 5200 + 2xy

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