Question

{x+1/x}^3+2{x+1/x}^2+{x+1/x}-100 x=2-√3 please answer this question.

Answer 1

$here \: \: x = 2 - \sqrt{3} \\ so \: \frac{1}{x } = \frac{1}{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } \\ = \frac{2 + \sqrt{3} }{4 - 3} = 2 + \sqrt{3} \\ so \: x + \frac{1}{x} = 4 \\ now$ Now by putting it's value we get 0 as answer.