Question

if x-1/x=2 then find the value of x^4+1/x^4​

Answer 1

Answer:

$x - \frac{1}{x} = 2 \\ putting \: squares \: at \: both \: side \\ x {}^{2} + \frac{1}{ {x}^{2} } - 2 = 4 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 6 \\ putting \: squares \: at \: both \: side \\ {x}^{4} + \frac{1}{ {x}^{4} } + 2 = 36 \\ {x}^{4} + \frac{1}{x {}^{4} } = 34$