If x+(1/x) = 3, then the value of x $^{5}$ +(1/x $^{5}$ ) =

159

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123

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108

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None of these

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Solution

The correct option is B
123

$x + \frac{1}{x} = 3, x^{2} + \frac{1}{x^{2}} = 7;$

$x^{3} + \frac{1}{x^{3}} = 27 - 3 (x + \frac{1}{x}) = 18$

$x^{5} + \frac{1}{x^{5}} = 18 \times 7 - (x + \frac{1}{x}) = 123$

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