`(2x+1)^2=9`
`(2x+1)^2=3^2=(-3)^2`
TH1: `2x+1=3`
`2x=2`
`x=1`
TH2: `2x+1=-3`
`2x=-4`
`x=-2`
(2x + 1)2 = 9
(2x + 1)2 = 32
\(\Rightarrow\)Trường hợp 1:
2x + 1 = 3
2x = 3 - 1
2x = 2
x = 2 : 2
x = 1
Trường hợp 2:
2x + 1 = -3
2x = -3 - 1
2x = -4
x = -4 : 2
x = -2
x \(\in\) \(\left\{-2;1\right\}\)
Ta có: \(\left(2x+1\right)^2=9\)
\(\Leftrightarrow\left[{}\begin{matrix}2x+1=3\\2x+1=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=2\\2x=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-2\end{matrix}\right.\)
