If x4 + x-4 = 194, x > 0, then what is the value of x + 1/x + 2?

Answer: Option A

$$\begin{array}{rl}& x^4+x^{-4}=194\\ & {\left(x^2+\frac{1}{x^2}\right)}^2=194+2\\ & {\left(x^2+\frac{1}{x^2}\right)}^2=196\\ & x^2+\frac{1}{x^2}=14\\ & x+\frac{1}{x}={\left(16\right)}^{\frac{1}{2}}\\ & x+\frac{1}{x}=4\\ & x+\frac{1}{x}+2=4+2\\ & x+\frac{1}{x}=6\end{array}$$