Question

Tìm x \(\left(x-2\right)^2-5\left(x-2\right)=0\)

Answer 1

\(\left(x-2\right)^2-5\left(x-2\right)=0\)

\(=>\left(x-2\right)\left(x-2-5\right)=0\)

\(=>\left(x-2\right)\left(x-7\right)=0\)

\(=>\left[{}\begin{matrix}x-2=0\\x-7=0\end{matrix}\right.=>\left[{}\begin{matrix}x=2\\x=7\end{matrix}\right.\)

\(=>x\in\left\{2;7\right\}\)

Answer 2

\(\left(x-2\right)^2-5\left(x-2\right)=0\)

=>\(\left(x-2\right)\left(x-2-5\right)=0\)

=>\(\left(x-2\right)\left(x-7\right)=0\)

=>\(\left[{}\begin{matrix}x-2=0\\x-7=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=7\end{matrix}\right.\)