Question

please solve this question .

Answer 1

Hi...☺

Here is your answer...✌

$x - \frac{1}{x} = 2$
Squaring both sides , We get

${x}^{2} + \frac{1}{ {x}^{2} } - 2 \times x \times \frac{1}{x} = {2}^{2} \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } -2 = 4 \\ \\ \implies {x}^{2} + \frac{1}{ {x}^{2} } = 6$
Again
Squaring both sides , We get

${x}^{4} + \frac{1}{ {x}^{4} } + 2 \times {x}^{2} \times \frac{1}{ {x}^{2} } = {6}^{2} \\ \\ {x}^{4} + \frac{1}{ {x}^{4} } + 2 = 36 \\ \\ \implies {x}^{4} + \frac{1}{ {x}^{4} } = 34$