1.

If x-1/x=9, find the value of x²+ 1/x²​

Answer»

ANSWER:

{x}^{2} + \frac{1}{ {x}^{2} } = 83

Step-by-step EXPLANATION:

x - \frac{1}{x} = 9 \\ squring \: on \: both \: the \: sides \\ {(x - \frac{1}{x} )}^{2} = {(9)}^{2} \\ {(x)}^{2} + {( \frac{1}{x} )}^{2} - 2(x)( \frac{1}{x} ) = 81 \\ {x}^{2} + \frac{1}{ {x}^{2} } - 2 = 81 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 81 + 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 83


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