Question

if x+1/x=2 then find the value of x^6+1/x^6

Answer 1

Answer :

2

Explanation :

$\frac{x + 1}{x} = 2 \\ \\ x + 1 = 2x \\ 1 = 2x - x \\ x = 1$

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