Question

x^2+1/x^2=6,find x+1/x​

Answer 1

Step-by-step explanation:

${x}^{2} + \frac{1}{ {x}^{2} } = 6$

${x}^{2} + {( \frac{1}{ x })}^{2} + 2 = 8$

${x}^{2} + {( \frac{1}{ x })}^{2} + 2(x)( \frac{1}{x} ) = 8$

${(x + \frac{1}{x}) }^{2 } = 8$

$x + \frac{1}{x} = \sqrt{8}$