If x4 + x-4 = 194, x > 0, then the value of (x - 2)2 is:

Answer: Option D

$$\begin{array}{rl}& x^4+\frac{1}{x^4}=194,\\ & x^4+\frac{1}{x^4}+2=194+2\\ & x^2+\frac{1}{x^2}+2=16\\ & x+\frac{1}{x}=4\\ & x^2+1=4x\\ & x^2-4x=-1\\ & x^2-4x+1=0\\ & x^2-4x+4-3=0\\ & x^2-4x+4=3\\ & {\left(x-2\right)}^2=3\end{array}$$