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10 Ways Video Games Keep Pissing Off Fans – Page 9

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10 Ways Video Games Keep Pissing Off Fans – Page 9
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\frac{x^2}{y} + \frac{y^2}{z} + \frac{z^2}{x} \geq 1
Equality holds when $ \frac{x}{y} = \frac{y}{z} = \frac{z}{x} $, which implies $ x = y = z $. Since $ x + y + z = 1 $, we get $ x = y = z = \frac{1}{3} $.
Check the expression at $ x = y = z = \frac{1}{3} $:

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