If 2pp^2 - 2p + 1 = 1/4 , p ≠ 0 then the value of p + 1/p\, is?

Answer: Option C

$$\begin{array}{rl}& \frac{2p}{p^2-2p+1}=\frac{1}{4}\\ & \Rightarrow \frac{\frac{2p}{p}}{\frac{p^2}{p}-\frac{2p}{p}+\frac{1}{p}}=\frac{1}{4}\\ & \Rightarrow \frac{2}{p+\frac{1}{p}-2}=\frac{1}{4}\\ & \Rightarrow p+\frac{1}{p}-2=8\\ & \Rightarrow p+\frac{1}{p}=10\end{array}$$