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1. $a + \frac{1}{a} = 5$

Answer: Option A

Explanation:

a + \frac{1}{a} = 5 ∴ a - \frac{1}{a} = \sqrt{{(a + \frac{1}{a})}^{2} - 4 . a . \frac{1}{a}} = \sqrt{{(5)}^{2} - 4} = \sqrt{25 - 4} \sqrt{21}

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