Question

 (If x+1/x) = 6, then (x²+1/x²) is:​

Answer 1

Answer:

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

34 is the right answer.