Question

if a +1/a=17/4,find the value of a-1/a
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Answer 1

Answer:

$(a + \frac{1}{a} ) = \frac{17}{4} \\ \\ seq. \: \: both \: \: side - \\ \\ {a}^{2} + \frac{1}{ {a}^{2} } + 2 = \frac{17}{4} \\ \\ {a}^{2} + \frac{1}{ {a}^{2} } = \frac{9}{4} \\ \\ = > {a}^{2} + \frac{1}{ {a}^{2} } - 2(a)( \frac{1}{a} ) = \frac{9}{4} - 2\\ \\ = > {(a - \frac{1}{a} )}^{2} = \frac{1}{4} \\ \\ = > a - \frac{1}{a} = | \frac{1}{2} |$

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