Question

$if + \frac{1}{x} = 5 find x3 + \frac{1}{x3}$
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Answer 1

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Answer 2

✰${\orange{\underline{\underline{\bold{Given:-}}}}}$

$x + \frac{1}{x} = 5$

✰${\orange{\underline{\underline{\bold{To\:find:-}}}}}$

$value \: of \: {x}^{3} + \frac{1}{ {x}^{3} }$

✰${\orange{\underline{\underline{\bold{Solution:-}}}}}$

${x}^{3} + \frac{1}{ {x}^{3} } \\ = {(x + y)}^{3} - 3 \times x \times \frac{1}{x} (x + \frac{1}{x} ) \\ = {5}^{3} - 3 \times 5 \\ = 125 - 15 \\ = 110$

✰${\orange{\underline{\underline{\bold{Answer:-}}}}}$

${x}^{3} + \frac{1}{ {x}^{3} } = 110$