Đáp án:
\(\left[ \begin{array}{l}x=\dfrac{1}{3}\\x=\dfrac{2}{3}\\x=0\end{array} \right.\)
Giải thích các bước giải:
`(3x-1)^20 = (3x-1)^10`
`=>(3x-1)^20 - (3x-1)^10=0`
`=>(3x-1)^10 .(3x-1)^10 -(3x-1)^10 .1=0`
`=>(3x-1)^10 .[(3x-1)^10 -1]=0`
`=>`\(\left[ \begin{array}{l}(3x-1)^{10}=0\\(3x-1)^{10} -1=0\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}3x-1=0\\(3x-1)^{10 }=1\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}3x=0+1\\(3x-1)^{10}=1^{10}\\(3x-1)^{10}=(-1)^{10}\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}3x=1\\3x-1=1\\3x-1=-1\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=\dfrac{1}{3}\\3x=2\\3x=0\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=\dfrac{1}{3}\\x=\dfrac{2}{3}\\x=0\end{array} \right.\)
