Question

if [x+1/x]=2, x2+1/x2=​

Answer 1

Step-by-step explanation:

this is the answer..............

Answer 2

$\large\sf{given \: x + \frac{1}{x} = 2}$

$\large\sf{squaring \: on \: both \: sides}$

$\large\implies\sf{{( x + \frac{1}{x})}^{2} = {2}^{2} }$

$\large\implies\sf{ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 4 }$

$\large\implies\sf{ {x}^{2} + \frac{1}{ {x}^{2} } = 4 - 2 }$

$\large\fbox{\sf{ {x}^{2} + \frac{1}{ {x}^{2} } = 2 }}$