Question

189:[628-(2x-1)\(^2\)]=3\(^2\).7

Answer 1

\(189:\left[628-\left(2x-1\right)^2\right]=3^2\cdot7\)

=>\(628-\left(2x-1\right)^2=\dfrac{189}{63}=3\)

=>\(\left(2x-1\right)^2=628-3=625\)

=>\(\left[{}\begin{matrix}2x-1=25\\2x-1=-25\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}2x=26\\2x=-24\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=13\\x=-12\end{matrix}\right.\)

Answer 2

\(189:\left[628-\left(2x-1\right)^2\right]=3^2.7\)
\(\Rightarrow628-\left(2x-1\right)^2=\dfrac{189}{63}\)
\(\Rightarrow628-\left(2x-1\right)^2=3\)
\(\Rightarrow\left(2x-1\right)^2=625\)
\(\Rightarrow\left[{}\begin{matrix}2x-1=25\\2x-1=-25\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=13\\x=-12\end{matrix}\right.\)