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Home » This Maester Was a Targaryen—Now The GOT Fans Are Obsessed! - ToelettAPP

This Maester Was a Targaryen—Now The GOT Fans Are Obsessed! - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \(x = \frac{5 \pm \sqrt{57}}{2}\).

📌 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:

📌 Since $ x + y + z = 1 $, we substitute into the inequality:

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To maintain the ratio of 3:7, we set up the proportion:
\frac{3}{7} = \frac{9}{x}
Solving for \(x\) (liters of chemical B):
3x = 63 \quad \Rightarrow \quad x = \frac{63}{3} = 21
So, 21 liters of chemical B are needed.
#### 21
A train travels from City A to City B at a constant speed. If it takes...
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