Question

help me na


plz plz



anyone​

Answer 1

Answer:

Here u can see that if you whole square boy sides then u will get

(x+1/x)²=5²

x²+1/x²+2×1/x×x=25

x×1/x=1

then x²+1/x²+2=25

x²+1/x²=25-2=23

23 is the answer

hope it helps

Answer 2

$\huge \green{Given :}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \bigg( \frac{x + 1}{x} \bigg) = 5$

$\huge \green{need \: to \: find :}$

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

$\huge \green{solution : }$

$\sf \: \bigg( \frac{ {x} + 1}{x} { \bigg)}^{2} = 25$

$\sf \implies \frac{ {x}^{2} + 1}{ {x}^{2} } + 2(x) \bigg( \frac{1}{x} \bigg) = 25$

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

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

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

$\boxed{ \bf\color{purple}{Hence \: \frac{ {x}^{2} + 1 }{ {x}^{2} } = 23 } }$