Question

\(\dfrac{3x-2}{4}=\dfrac{9}{3x-2}\)

Answer 1

\(\dfrac{3x-2}{4}=\dfrac{9}{3x-2}\\ \Rightarrow\left(3x-2\right)^2=36\\ \Rightarrow\left[{}\begin{matrix}3x-2=-6\\3x-2=6\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=-\dfrac{4}{3}\\x=\dfrac{8}{3}\end{matrix}\right.\)

Answer 2

\(\dfrac{3x-2}{4}=\dfrac{9}{3x-2}\left(đk:x\ne\dfrac{2}{3}\right)\)

\(\Rightarrow\left(3x-2\right)^2=36\)

\(\Rightarrow\left[{}\begin{matrix}3x-2=6\\3x-2=-6\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{8}{3}\\x=-\dfrac{4}{3}\end{matrix}\right.\)