If x + 1/x = 5 , then x^6 + 1x^6 is?

Answer: Option A

$$\begin{array}{rl}& x+\frac{1}{x}=5\\ & \text{Take cube on both sides}\\ & \Rightarrow {\left(x+\frac{1}{x}\right)}^3={\left(5\right)}^3\\ & \Rightarrow x^3\text{ + }\frac{1}{x^3}+3\times 5=125\\ & \Rightarrow x^3\text{ + }\frac{1}{x^3}=110\\ & \therefore \text{Squaring both sides}\\ & \Rightarrow {\left(x^3\text{ + }\frac{1}{x^3}\right)}^2={\left(110\right)}^2\\ & \Rightarrow x^6\text{ + }\frac{1}{x^6}+2=12100\\ & \Rightarrow x^6\text{ + }\frac{1}{x^6}=12100-2\\ & \Rightarrow x^6\text{ + }\frac{1}{x^6}=12098\end{array}$$