Question

\(\dfrac{x+2}{5}=\dfrac{1}{x-2}\)

Answer 1

\(\dfrac{x+2}{5}=\dfrac{1}{x-2}\)

\(\Rightarrow\left(x+2\right)\left(x-2\right)=1.5\)

\(\Rightarrow x^2-4=5\Rightarrow x^2=9\)

\(\Rightarrow\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\)

Answer 2

\(\left(x+2\right)\left(x-2\right)=5\)

\(x^2-4=5\Leftrightarrow x^2=9\)

\(x^2=3^2\Leftrightarrow x=3\)