Question

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Answer 1

\(5,\\ a,\Rightarrow\left(3x-1\right)^6-\left(3x-1\right)^4=0\\ \Rightarrow\left(3x-1\right)^4\left[\left(3x-1\right)^2-1\right]=0\\ \Rightarrow\left[{}\begin{matrix}3x-1=0\\\left(3x-1\right)^2=1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\3x-1=1\\3x-1=-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=\dfrac{2}{3}\\x=0\end{matrix}\right.\)