Question

$x^{2} +\frac{1}{x^{2} x^{2} } =27$
find the value of $x-\frac{1}{x}$

Answer 1

(x-1/x)²=x²+1/x²-2x/x

x²+1/x² -2=(x-1/x)²

  =27-2=25

hence x-1/x=5,-5