Question

2. If x - 1/x= 6, then find x²+1/x² . please answer this​

Answer 1

Answer:-

$\begin{gathered}x + \frac{1}{x} = 6 \\ \end{gathered}$

On squaring both sides we get,

$\begin{gathered} {(x + \frac{1}{x}) }^{2} = {6}^{2} \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2(x)( \frac{1}{x} ) = 36 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 36 - 2 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 34\end{gathered}$

(x+ x1 ) 2 =6 2x 2 +x2

1 +2(x)( x1 )=36

x 2 + x 21 =36−2

x 2 + x 21 =34

Identity I used =

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab(a+b)$

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

Have great future ahead!

Answer 2

okay lets talk

I'm fine...

how are you..?