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is chick fil a giving free food on july 15th - NBX Soluciones

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 Use quadratic formula: \(x = \frac{5 \pm \sqrt{25 + 32}}{2}\).

📌 \(x = \frac{5 \pm \sqrt{57}}{2}\).

📌 Approximately, \(x \approx 6.27\) or \(x \approx -1.27\).

📌 Only \(x \approx 6.27\) is valid since \(x^2 - 5x > 0\).

📌 #### 6.27Question: Let $ x, y, z $ be positive real numbers such that $ x + y + z = 1 $. Find the minimum value of the expression

📌 Solution: To minimize the expression

📌 S = \frac{x^2}{y} + \frac{y^2}{z} + \frac{z^2}{x},

📌 given that $ x + y + z = 1 $ and $ x, y, z > 0 $, we apply the **Cauchy-Schwarz Inequality** in the following form:

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