Step-by-step explanation:

Step-by-step explanation:HII FRND HERE'S YOUR ANSWER

Step-by-step explanation:HII FRND HERE'S YOUR ANSWERMARK ME BRAINLIST PLZ✌

Verified answer

[tex] \implies \: x + \frac{1}{x} {}^{} =6 - - (1) \\ \\ square \: both \: sides \\ \\ \implies \: (x + \frac{1}{x} ) {}^{2} = {6}^{2} \\ \\ \implies \: (x + \frac{1}{x} ) {}^{2} - 4 = {6}^{2} - 4 \\ \\ \implies \: {x}^{2} + \frac{1}{ {x}^{2} } + 2 \: \cancel{x. \frac{1}{x} } - 4= 36 - 32 \\ \\ \implies \: {x}^{2} + \frac{1}{ {x}^{2} } - 2 = 32 \\ \\ \implies \: (x - \frac{1}{x} ) {}^{2} = 32 \\ \\ \implies \: x - \frac{1}{x} = \sqrt{32} \\ \\ \implies \pink{ x - \frac{1}{x} = 4 \sqrt{2} } - - (2) \\ \\ eq \: (1) \: and \: (2) \: multiplie \\ \\ \implies \: (x + \frac{1}{x} )(x - \frac{1}{x} ) = 6.4 \sqrt{2} \\ \\ \implies \pink{ {x}^{2} - \frac{1}{ {x}^{2} } = 24 \sqrt{2} }[/tex]

________________________

thanks sister @rgopal bro