Question

2.(2x-1)^2=50

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Answer 1

\(2.\left(2x-1\right)^2=50\\ \Rightarrow\left(2x-1\right)^2=50:2\\ \Rightarrow\left(2x-1\right)^2=25\\ \Rightarrow\left(2x-1\right)^2=\left(\pm5\right)^2\\ \Rightarrow\left[{}\begin{matrix}2x-1=5\\2x-1=-5\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2x=6\\2x=-4\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=3\\x=-2\end{matrix}\right.\)