(2x - 3)6 = (2x - 3)8
=> (2x - 3)8 - (2x - 3)6 = 0
=> (2x - 3)6.[(2x - 3)2 - 1)] = 0
=> (2x - 3)6 = 0 hoặc (2x - 3)2 - 1 = 0
=> 2x - 3 = 0 hoặc (2x - 3)2 = 1
=> 2x = 3 hoặc 2x - 3 thuộc {1 ; -1}
=> x = 3/2 hoặc 2x thuộc {4 ; 2}
=> x = 3/2 hoặc x thuộc {2 ; 1}
\(\left(2x-3\right)^6=\left(2x-3\right)^8\)
\(\Rightarrow\left(2x-3\right)^8-\left(2x-3\right)^6=0\)
\(\Rightarrow\left(2x-3\right)^6\left(\left(2x-3\right)^2-1\right)=0\)\(\Rightarrow\orbr{\begin{cases}\left(2x-3\right)^6=0\Rightarrow2x-3=0\Rightarrow x=\frac{3}{2}\\\left(2x-3\right)^2-1=0\Rightarrow\left(2x-3\right)^2=1\Rightarrow\orbr{\begin{cases}2x-3=1\Rightarrow x=2\\2x-3=-1\Rightarrow x=1\end{cases}}\end{cases}}\)
