Question

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

Answer 1

\(\left(2x-1\right)^2=25\\ TH1\left(2x-1\right)^2=5^2\\ 2x-1=5\\ 2x=6\\ x=3\\ TH2\left(2x-1\right)^2=\left(-5\right)^2\\ 2x-1=-5\\ 2x=-4\\ x=-2\)

Answer 2

\(2.\left(2x-1\right)^2=50\)

\(\Rightarrow\left(2x-1\right)^2=25\)

\(\Rightarrow\left(2x-1\right)^2=\left(\pm5\right)^2\)

\(\Rightarrow\left[{}\begin{matrix}2x-1=5\\2x-1=-5\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=3\\x=-2\end{matrix}\right.\)

Answer 3