Question

solve this question step by step


if you don't know the answer so don't answer the question please

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Answer 1

Answer:

${x}^{2} + \frac{1}{ {x}^{2} } = 27$

Step-by-step explanation:

$x - \frac{1}{x} = 5 \\ squaring \: on \: both \: the \: sides \\ {(x - \frac{1}{x} )}^{2} = {(5)}^{2} \\ {(x)}^{2} + {( \frac{1}{x} )}^{2} - 2(x)( \frac{1}{x} ) = 25 \\ {x}^{2} + \frac{1}{ {x}^{2} } - 2 = 25 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 25 + 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 27$