Question

Answer 1

=>(x-2)²=81

=>x-2=9 hoặc x-2=-9

=>x=11 hoặc x=-7

Answer 2

\(\dfrac{-3}{x-2}=\dfrac{x-2}{-27}\\ \Leftrightarrow\left(x-2\right)^2=\left(-3\right)\cdot\left(-27\right)\\ \Leftrightarrow\left(x-2\right)^2=81\\ \Leftrightarrow\left(x-2\right)^2=\left(\pm9\right)^2\\ \Leftrightarrow\left[{}\begin{matrix}x-2=9\\x-2=-9\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=11\\x=-7\end{matrix}\right.\)

Answer 3

\(\dfrac{-3}{x-2}=\dfrac{x-2}{-27}\)

`=> (x-2)  xx (x-2) = -3 xx (-27)`

` (x-2)^2 = 81`

\(\Leftrightarrow\left[{}\begin{matrix}x-2=9\\x-2=-9\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=11\\x=-7\end{matrix}\right.\)

Answer 4

`(-3)/(x-2) = (x-2)/-27`

`=> (x-2)(x-2) = (-3)(-27)`

`=> (x-2)^2 = 81`

`=>`\(\left[{}\begin{matrix}\left(x-2\right)^2=\left(9\right)^2\\\left(x-2\right)^2=\left(-9\right)^2\end{matrix}\right.\)

`=>` \(\left[{}\begin{matrix}x-2=9\\x-2=-9\end{matrix}\right.\)

`=>`\(\left[{}\begin{matrix}x=11\\x=-7\end{matrix}\right.\)