Question

Find the value of x²+1/x² if x²-1/x=9​

Answer 1

Answer:

83

Step-by-step explanation:

$(x - \frac{1}{x} ) = 9 \\ Squaring on both sides \\ {(x - \frac{1}{x} )}^{2} = {9}^{2}$

${x}^{2} + \frac{1}{ {x}^{2} } - 2 = 81 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 83$

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