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Home » "Ben Stiller’s Secret Masterpiece Revealed: Directed Movies That Shocked Hollywood! - Abbey Badges

"Ben Stiller’s Secret Masterpiece Revealed: Directed Movies That Shocked Hollywood! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📝 Recent Posts

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...
Since $ x + y + z = 1 $, we substitute into the inequality:
S \geq 1.
To check if this bound is achievable, consider the equality condition...
Let this common value be $ k $. Then,
\frac{x^2}{y} = \frac{y^2}{z} \Rightarrow x^2 z = y^3, \quad \frac{y^2...
From these, we deduce a symmetry: suppose $ x = y = z $. Then $ x + y...
S = 3 \cdot \frac{(1/3)^2}{1/3} = 3 \cdot \frac{1/9}{1/3} = 3 \cdot \f...
Hence, the minimum value is achieved when $ x = y = z = \frac{1}{3} $.

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