Question

If x*2 + 1/x*2 =27 find the value of x+ 1/x.
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Answer 1

Answer:

Here is the answer.

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Step-by-step explanation:

Given,

${x}^{2} + \frac{1}{ {x}^{2} } = 27 \\ = > {(x + \frac{1}{x}) }^{2} - 2.x. \frac{1}{x} = 27 \\ = > {(x + \frac{1}{x} )}^{2} - 2 = 27 \\ = > {(x + \frac{1}{x}) }^{2} = 27 + 2 \\ = > {(x + \frac{1}{x} )}^{2} = 29 \\ = > x + \frac{1}{x} = ± \sqrt{29}$