(2x - 1)6 = (2x - 1)4
=> (2x - 1)6 - (2x - 1)4 = 0
=> (2x - 1)4.[(2x - 1)2 - 1] = 0
=> \(\orbr{\begin{cases}\left(2x-1\right)^4=0\\\left(2x-1\right)^2-1=0\end{cases}}\Rightarrow\orbr{\begin{cases}2x-1=0\\\left(2x-1\right)^2=1\end{cases}}\Rightarrow\orbr{\begin{cases}2x-1=0\\2x-1=\pm1\end{cases}}\)
Khi 2x - 1 = 0 => x = 1/2
Khi 2x - 1 = -1 => x = 0
Khi 2x - 1 = 1 => x = 1
Vậy \(x\in\left\{\frac{1}{2};0;1\right\}\)là giá trị cần tìm
( 2x - 1 )6 = ( 2x - 1 )4
<=> ( 2x - 1 )6 - ( 2x - 1 )4 = 0
<=> ( 2x - 1 )4[ ( 2x - 1 )2 - 1 ] = 0
<=> \(\orbr{\begin{cases}\left(2x-1\right)^4=0\\\left(2x-1\right)^2-1=0\end{cases}}\)
<=> \(\hept{\begin{cases}x=\frac{1}{2}\\x=1\\x=0\end{cases}}\)( thay = dấu hoặc hộ nhé )
ơ thiếu nghiệm :v
\(x=\left\{\frac{1}{2};1;0\right\}\)nhé ._.
x thuộc N nha