Question

Answer 1

\(\left(3x-1\right)^6=\left(3x-1\right)^4\)

\(\left(3x-1\right)^6-\left(3x-1\right)^4=0\)

\(\left(3x-1\right)^4[\left(3x-1\right)^2-1]=0\)

⇔\(\left\{{}\begin{matrix}3x-1=0\\3x-1=1\end{matrix}\right.\) \(\text{⇒}\)\(\left\{{}\begin{matrix}x=\dfrac{1}{3}\\x=\dfrac{2}{3}\end{matrix}\right.\)