Question

Explain step by step ​

Answer 1

Answer:

$4 \: is \: the \: value \: of \: x \: - \: \frac{1}{x}$

Step-by-step explanation:

$\: ({x \: - \: \frac{1}{x} })^{2} \: = {x}^{2} + \frac{1}{ {x}^{2} } - 2 = \: 18$

$using \: \: ( {a} - \: {b})^{2} = \: {a}^{2} + {b}^{2} - \: 2ab \:$

$\: ( x \: - \frac{1}{x} )^{2} = \: 16$

$( x \: - \: \frac{1}{x} ) = \sqrt{16}$

$\: (x - \frac{1}{x} ) = 4$

Hope this answer helped you out, have a nice day

Answer 2

$4 \: is \: the \: value \: of \: (x− \frac{1}{x} )............ \\ \\ \\ (x− \frac{1}{x} )^{2} = \: x^{2} + \frac{1}{ {x}^{2} } \: − \: 2=18 \: \\ using \: (a−b)^{2} =a^{2} + {b}^{2} −2ab \\ (x− \frac{1}{x} )^{2} =16.......(x−\frac{1}{x} )= \sqrt{16} \\ (x \: - \: \frac{1}{x} ) = 4$

MARK BRAINLEIST...