Question

If x^2+1/x^2=83,then find the value of x-1/x.

Answer 1

Answer:

Answer is 9.

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Step-by-step explanation:

Given,

${x}^{2} + \frac{1}{ {x}^{2} } = 83 \\ = > {(x - \frac{1}{x} )}^{2} + 2.x. \frac{1}{x} = 83 \\ = > {(x - \frac{1}{x} )}^{2} + 2 = 83 \\ = > {(x - \frac{1}{x} )}^{2} = 83 - 2 \\ = > {(x - \frac{1}{x} )}^{2} = 81 \\ = > x - \frac{1}{x} = \sqrt{81} \\ = > x - \frac{1}{x } = 9$