Question

x+1/x = 6 find x-1/x and x²-1/x²



Best answer will be marked as brainliest ​

Answer 1

Step-by-step explanation:

\textbf{ \huge{ Hello Mate! }}  Hello Mate!  

\begin{lgathered}x + \frac{1}{x} = 6 \\\end{lgathered}x+x1=6 

On squaring both sides we get,

\begin{lgathered}{(x + \frac{1}{x}) }^{2} = {6}^{2} \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2(x)( \frac{1}{x} ) = 36 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 36 - 2 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 34\end{lgathered}(x+x1)2=62x2+x21+2(x)(x1)=36x2+x21=36−2x2+x21=34 

Identity I used = 

{(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab(a+b)2=a2+b2+2ab 

\boxed{ \textsf{ \red{ Hence\:answer\:is\:34 }}}  Henceansweris34  

Have great future ahead!