Question

(2x -3)^2 = 36

Answer 1

`#3107.101107`

`(2x - 3)^2 = 36`

`=> (2x - 3)^2 = (+-6)^2`

`=>`\(\left[{}\begin{matrix}2x-3=6\\2x-3=-6\end{matrix}\right.\)

`=>`\(\left[{}\begin{matrix}2x=9\\2x=-3\end{matrix}\right.\)

`=>`\(\left[{}\begin{matrix}x=\dfrac{9}{2}\\x=-\dfrac{3}{2}\end{matrix}\right.\)

Vậy, `x \in {-3/2; 9/2}.`

Answer 2

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

\(\Rightarrow\left(2x-3\right)^2=\left(\pm6\right)^2\)

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

\(\Rightarrow\left[{}\begin{matrix}2x=9\\2x=-3\end{matrix}\right.\)

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

Vậy: ...