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CAT 2023 Set-3 | Quantitative Aptitude | Question: 1

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If $x$ is a positive real number such that $x^{8}+\left(\frac{1}{x}\right)^{8}=47$, then the value of $x^{9}+\left(\frac{1}{x}\right)^{9}$ is

  1. $34 \sqrt{5}$
  2. $40 \sqrt{5}$
  3. $36 \sqrt{5}$
  4. $30 \sqrt{5}$

     

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