Question

find the value of given ​

Answer 1

Answer:

66

Step-by-step explanation:

${x}^{2} + \frac{1}{ {x}^{2} } = {(x - \frac{1}{x} )}^{2} + 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = {(8)}^{2} + 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 64 + 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 66$