Question

If a + 1/a = 17/4 , find the value of (a-1/a).

Answer 1

Hope this can help you

Answer 2

Hey friend..!! here's your answer
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$we \: have \: = \frac{a + 1}{a} = \frac{17}{4}$

Firstly , we need to find the value of a ,

$\frac{a + 1}{a} = \frac{17}{4} \\ \\ 4a + 4 = 17a \\ \\ 17a = 4 \\ \\ a = \frac{17}{4}$

$put \: the \: value \: of \: a \: in \: \frac{a - 1}{a} \\ \\ = \frac{ \frac{17}{4} - 1}{\frac{17}{4} } \\ \\ = \frac{ \frac{17 - 4}{4} }{ \frac{17}{4} } \\ \\ = \frac{ \frac{9}{4} }{ \frac{17}{4} } \\ \\ = \frac{9}{4} \times \frac{4}{17} \\ \\ = \frac{9}{17}$

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#Hope its help