If x + ( 1/x ) = 2 , then the value of x^7 + ( 1x^5 ) is?

Answer: Option C

$$\begin{array}{rl}& x+\frac{1}{x}=2\\ & \text{Find , }{x}^7+\frac{1}{x^5}\\ & x+\frac{1}{x}=2\\ & \Rightarrow \underset{1}{\downarrow }\underset{1}{\downarrow }\Rightarrow \text{Let }x=1\\ & \text{To put value in question,}\\ & \Rightarrow x^7+\frac{1}{x^5}\\ & \Rightarrow {\text{1}}^7+\frac{1}{1^5}\\ & \Rightarrow 1+1\\ & \Rightarrow 2\end{array}$$