Question

x+1/x=2 find the value of a)x^2+1/x^2 b)x^4+1/x^4​

Answer 1

Step-by-step explanation:

$x + \frac{1}{x} = 2 \\squaring \: on \: both \: sides \\ ( {x + \frac{1}{x}})^{2} = {2}^{2} \\ {x}^{2} + 2x \times \frac{1}{x} + \frac{1}{ {x}^{2} } = 4 \\ {x}^{2} + 2 + \frac{1}{ {x}^{2} } = 4 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 2$