Question

Answer 1

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

\(\Leftrightarrow\left(x-2\right)\cdot\left(x-2\right)=\left(-5\right)\cdot\left(-5\right)\)

\(\Leftrightarrow\left(x-2\right)^2=5^2\)

TH1 : \(x-2=5\)

         \(x=5+2\)

         \(x=7\)

TH2 : \(x-2=-5\)

         \(x=\left(-5\right)+2\)

        \(x=-3\)

\(\Rightarrow\) \(x=\left[{}\begin{matrix}7\\-3\end{matrix}\right.\)

       

Answer 2

\(=>x-2.x-2=-5.\left(-5\right)\)

\(=>x.\left(1-2\right)-2=10\)

\(x.\left(-1\right)=10-2\)

\(x.\left(-1\right)=8\)

\(x=8:\left(-1\right)\)

\(x=-8\)