Question

If x2+1/x2=1 then what is the value of x+1/x​

Answer 1

Answer:

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Step-by-step explanation:

Given,

${x}^{2} + \frac{1}{ {x}^{2} } = 1 \\ = > {(x + \frac{1}{x} )}^{2} - 2.x. \frac{1}{x} = 1 \\ = > {(x + \frac{1}{x}) }^{2} - 2 = 1 \\ = > {(x + \frac{1}{x} )}^{2} = 3 \\ = > x + \frac{1}{x} =  ± \sqrt{3}$