\(\left(x-1\right)^2=\dfrac{25}{16}\)
\(\Leftrightarrow\left(x-1\right)^2=\left(\dfrac{5}{4}\right)^2\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=\dfrac{5}{4}\\x-1=-\dfrac{5}{4}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{9}{4}\\x=-\dfrac{1}{4}\end{matrix}\right.\)
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