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Home » \( |15,100 - 15,000| = 100 \) - Dyverse

\( |15,100 - 15,000| = 100 \) - Dyverse

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📝 Recent Posts

Question: What is the greatest common divisor of 210 and 294, represen...
Solution: Factorize $ 210 = 2 \cdot 3 \cdot 5 \cdot 7 $ and $ 294 = 2...
Question: What is the sum of all positive divisors of 120 that are mul...
Solution: The divisors of 120 are $ 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 2...
rac{x^2 + y^2}{xy} + rac{xy}{x^2 + y^2}
subject to $ x, y > 0 $.
Solution: Let $ A = rac{x^2 + y^2}{xy} $ and $ B = rac{xy}{x^2 + y^2...
A + B = rac{x^2 + y^2}{xy} + rac{xy}{x^2 + y^2}.
Let $ t = rac{x^2 + y^2}{xy} $. By the AM-GM inequality,
x^2 + y^2 \geq 2xy \Rightarrow rac{x^2 + y^2}{xy} \geq 2,

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