Question

find x+1/x , if x2+1/x2 =62​

Answer 1

Answer:

8

Step-by-step explanation:

${(x + \frac{1}{x}) }^{2} = {x}^{2} + \frac{1}{ {x}^{2} } + 2 \\ = > {(x + \frac{1}{x}) }^{2} = 62 + 2 \\ = > {(x + \frac{1}{x}) }^{2} = 64 \\ = > x + \frac{1}{x} = \sqrt{64} \\ = > x + \frac{1}{x} = 8$

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