Question

x^2+1/x^2=34 find x+1/x

Answer 1

${x}^{2} + \frac{1}{ {x}^{2} } = 34 \\ {(x + \frac{1}{x} )}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } + 2 \\ = 34 + 2 \\ = 36 \\ x + \frac{1}{x} = \sqrt{36} \\ = 6$
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