Question

if(x-1/x) =4,find the value of (i) (x2+1/x2),(ii) (x4+1/x4).​

Answer 1

The answers are :::18,322

Here is the solution

Answer 2

$x - \frac{1}{x} = 4 \\ \\ ( {x - \frac{1}{x} })^{2} = 16 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } - 2 = 16 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 18 \\ \\ ( { {x}^{2} + \frac{1}{ {x}^{2} } })^{2} = 324 \\ \\ {x}^{4} + \frac{1}{ {x}^{4} } + 2= 324 \\ \\ {x}^{4} + \frac{1}{ {x}^{4} } = 322$