c) \(\left(x-2\right)^2=\left(x-2\right)^3\)
\(\Rightarrow\left(x-2\right)^2-\left(x-2\right)^3=0\)
\(\Rightarrow\left(x-2\right)^2\left[1-\left(x-2\right)\right]=0\)
\(\Rightarrow\left[{}\begin{matrix}\left(x-2\right)^2=0\\1-\left(x-2\right)=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x-2=0\\x-2=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x=3\end{matrix}\right.\)
d) \(\left(3x-2\right)^{2n}=7^{2n}\)
Vì \(\left(3x-2\right)^{2n}\ge0\)
\(\Rightarrow\left[{}\begin{matrix}-\left(3x-2\right)=7\\3x-2=7\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}3x=-5\\3x=9\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{5}{3}\\x=3\end{matrix}\right.\)
\(c,\left(x-2\right)^2-\left(x-2\right)^3=0\\ \left(x-2\right)^2\left(x-2-1\right)=0\\ \left(x-2\right)^2\left(x-3\right)=0\\ =>x=2;x=3\\ d,\left(3x-2\right)=7\\ 3x-2=7\\ 3x=7+2\\ 3x=9\\ x=9:3\\ x=3\\ @Dosea\)
