if ⁽x²)dotplus 1/(x²)= 119 ( x> 0 ) , then the value of ( x³dotplus 1/(x³) ) is:

SSC Selection Post 2024 PYQ — Question 54

if $^{x^2}\dotplus \frac{1}{x^2}= 119\left ( x> 0 \right )$ , then the value of $\left ( x^3\dotplus \frac{1}{x^3} \right )$ is:

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 1298.

x² + 1/x² = 119

⇒ x + 1/x = √(119 + 2) = √121 = 11

So, x³ + 1/x³ = 11³ - 3(11) = 1331 - 33 = 1298