Question

if x+1/x=4,find x2+2/x2​

Answer 1

Answer:

${x}^{2} + \frac{1}{ {x}^{2} } = 14$

Step-by-step explanation:

$x + \frac{1}{x} = 4 \\ squaring \: on \: both \: the \: sides \\ {(x + \frac{1}{x} )}^{2} = {(4)}^{2} \\ {(x)}^{2} + { (\frac{1}{x} )}^{2} + 2(x)( \frac{1}{x} ) = 16 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 16 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 16 - 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 14$