Question

if x - 1/x=5,find the valur of x² +1/x²​

Answer 1

Answer:

${x}^{2} + \frac{1}{ {x}^{2} } = 27$

Step-by-step explanation:

$x - \frac{1}{x} = 5 \\ squring \: on \: both \: the \: sides \\ {(x - \frac{1}{x} )}^{2} = {(5)}^{2} \\ {(x)}^{2} - 2(x)( \frac{1}{x} ) + { (\frac{1}{x} )}^{2} = 25 \\ {x}^{2} - 2 + \frac{1}{ {x}^{2} } = 25 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 25 + 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 27$