\(\left(2x-1\right)^2=\frac14\)
=>\(\left[\begin{array}{l}2x-1=\frac12\\ 2x-1=-\frac12\end{array}\right.\Rightarrow\left[\begin{array}{l}2x=1+\frac12=\frac32\\ 2x=1-\frac12=\frac12\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac34\\ x=\frac14\end{array}\right.\)