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\mathbfv \times \mathbfb = \beginvmatrix - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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Rewrite: \(x^2 - 5x = 2^3 = 8\).
So, \(x^2 - 5x - 8 = 0\).
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...
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 **Cauch...

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