Question

$if \: x + \frac{1}{x} = 5 \: find \\ (x {}^{2} + \frac{1}{x {}^{2} } )$
​

Answer 1

Answer:

hope it helps

please mark brainliest

Answer 2

Answer:

It's given that,

$x + \frac{1}{x} = 5$

Squaring on both sides,

$= {(x + \frac{1}{x}) }^{2} = {(5)}^{2}$

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

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

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

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

Therefore, answer is 23.