Question

please answer this question ​

Answer 1

Given:

(x+1/x) = 5

We need to find, x2 + 1/x2

(x+1/x) 2= 25

= x2 + 1/x2 + 2 (x) (1) (1/x) = 25

= x2 + 1/x2 + 2 = 25

= x2 + 1 /x2 = 25 - 2

=x2 +1 /x2 = 23

Hence, x2 +1/x2 = 23

Answer 2

Given:-

$x + \frac{1}{x} = 5 - - (1)$

to find:-

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

find:-

squaring eq. 1 both side,

${x}^{2} + \frac{1}{ {x}^{2} } + 2 = 25$

${x}^{2} + \frac{1}{ {x}^{2} } = 23$