If x8 - 1442x4 + 1 = 0, then a possible value of x - 1/x is:

Answer: Option C

$$\begin{array}{rl}& x^8-1442x^4+1=0\\ & \frac{x^8}{x^4}-\frac{1442x^4}{x^4}+\frac{1}{x^4}=0\\ & x^4-1442+\frac{1}{x^4}=0\\ & x^4+\frac{1}{x^4}=1442\\ & x^4+\frac{1}{x^4}+2=1444\\ & \left(x^2+\frac{1}{x^2}\right)=38\\ & x^2+\frac{1}{x^2}-2=36\\ & {\left(x-\frac{1}{x}\right)}^2=36\\ & x-\frac{1}{x}=6\end{array}$$