If \( x \) be real, prove that \( \frac{x}{x^{2}-5 x+9} \) must lie between 1 and \( -\frac{1}{1...

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If \( x \) be real, prove that \( \frac{x}{x^{2}-5 x+9} \) must lie between 1 and \( -\frac{1}{11} \).
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