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Home » Therefore, the center of the hyperbola is \(\boxed(3, 2)\). - Appfinity Technologies

Therefore, the center of the hyperbola is \(\boxed(3, 2)\). - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Hence, the number of such functions is $ \boxed{\infty} $, assuming no further restrictions.

📌 Question: Let $ x, y, z $ be positive real numbers such that $ x + y + z = 3 $. Find the minimum value of

📌 \frac{x^2}{y + z} + \frac{y^2}{z + x} + \frac{z^2}{x + y}.

📌 Solution: We are to minimize

📌 under the constraint $ x + y + z = 3 $.

📌 Note that $ y + z = 3 - x $, $ z + x = 3 - y $, $ x + y = 3 - z $. So the expression becomes:

📌 \sum \frac{x^2}{3 - x}

📌 We apply the **Cauchy-Schwarz Inequality** in the following form:

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