Question

\(\dfrac{3}{x-2}=\dfrac{x-2}{12}\)

Answer 1

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

Answer 2

Đk: \(x\ne2\)

Pt\(\Rightarrow3\cdot12=\left(x-2\right)^2\)

    \(\Rightarrow\left(x-2\right)^2=36=6^2\Rightarrow x-2=6\Rightarrow x=8\)

Answer 3

\(\Rightarrow\left(x-12\right)^2=36\)

\(\Rightarrow\left\{{}\begin{matrix}x-12=-6\\x-12=6\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}x=-4\\x=8\end{matrix}\right.\)