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📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Thus, the product of the number of these two types of atoms is \(oxed{35}\).

📌 An archaeologist is examining an ancient Mesopotamian tablet that records two quantities related to grain storage: their sum is 15, and their product is 50. Determine the sum of the squares of these two quantities.

📌 Let the two quantities be \( a \) and \( b \). We are given:

📌 \( ab = 50 \)

📌 We want to find \( a^2 + b^2 \). Use the identity:

📌 a^2 + b^2 = 15^2 - 2 \cdot 50

📌 = 225 - 100

📌 Therefore, the sum of the squares of the two quantities is \(oxed{125}\).

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