Question

\(\left(2x-4\right)^2=16\)

Answer 1

\(2x-4=4\)

\(x=4\)

Answer 2

\(\left(2x-4\right)^2=16\)

\(\Rightarrow\left[{}\begin{matrix}2x-4=4\\2x-4=-4\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}2x=8\\2x=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=4\\x=0\end{matrix}\right.\)

Answer 3

\(\Rightarrow\left[{}\begin{matrix}2x-4=4\\2x-4=-4\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4\\x=0\end{matrix}\right.\)

Answer 4

\(\left(2x-4\right)^2=16\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-4=4\\2x-4=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=0\end{matrix}\right.\)