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

Answer: Option C

$$\begin{array}{rl}& x+\frac{1}{x}=5\text{ then, }\frac{5x}{x^2+5x+1}\\ & \Rightarrow \frac{5}{x+5+\frac{1}{x}}\\ & \Rightarrow \frac{5}{x+\frac{1}{x}+5}\\ & \Rightarrow \frac{5}{5+5}\\ & \Rightarrow \frac{1}{2}\end{array}$$