Question

do this 16 no. question​

Answer 1

Answer:

18

Step-by-step explanation:

${x}^{2} + \frac{1}{ {x}^{2} } = {(x - \frac{1}{x} )}^{2} + 2$

so,

${( \frac{ {x}^{2} - 1}{x}) }^{2} + 2$

now find

${x}^{2}$

${x}^{2} = 4 + 5 + 4 \sqrt{5} = 9 + 4 \sqrt{5}$

put this value of x^2 in the above equation.

${ \frac{(8 + 4 \sqrt{5}) }{(2 + \sqrt{5} )} }^{2} + 2$

take 4 common from numerator and cancel the same terms , then you will be left with

${4}^{2}$+2.

so, now 16+2 =18.

HOPE IT HELPS YOU.

mark it as brainliest.