\(\sqrt{4x^2-4x+1}=37\)
\(\sqrt{\left(2x-1\right)^2}=37\)
\(\left|2x-1\right|=37\)
⇔\(\left[{}\begin{matrix}2x-1=37\\2x-1=-37\end{matrix}\right.\)
⇔\(\left[{}\begin{matrix}x=19\\x=-18\end{matrix}\right.\)
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\(\sqrt{4x^2-4x+1}=37\)
\(\Leftrightarrow\sqrt{\left(2x-1\right)^2}=37\)
\(\Leftrightarrow\left|2x-1\right|=37\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1=37\\2x-1=-37\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=19\\x=-18\end{matrix}\right.\)
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