Question

f X - 1/X = 9 , Find the value of X²+1/X².​

Answer 1

Answer:

=4

Now squaring both sides we get,

⇒x

2

+2.x.

x

1

+

x

2

1

=16

⇒x

2

+2+

x

2

1

=16

⇒x

2

+

x

2

1

=16−2

⇒x

2

+

x

2

1

=14.

Answer 2

$\huge \rm{ \color{teal}Answer}$

$\sf Given, \: x - \dfrac{1}{x} = 9$

Squaring on both sides

$\sf{(\: x - \dfrac{1}{x})}^{2} = {9}^{2}$

$\sf{x}^{2} + \dfrac{1}{ {x}^{2} } - 2 = 81$

$\sf{x}^{2} + \dfrac{1}{ {x}^{2} } = 81 + 2 = \red{83}$

Therefore, x² + 1/x² = 83, the required answer.