a)
\((x+2)^2=0\Rightarrow x+2=0\rightarrow x=-2\)
b)
\((x-1)^2=1=1^2=(-1)^2\Rightarrow \left[\begin{matrix} x-1=1\\ x-1=-1\end{matrix}\right.\)
\(\Rightarrow \left[\begin{matrix} x=2\\ x=0\end{matrix}\right.\)
c) \((2x-3)^2=9=3^2=(-3)^2\)
\(\Rightarrow \left[\begin{matrix} 2x-3=3\\ 2x-3=-3\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=3\\ x=0\end{matrix}\right.\)
d)
\((x+\frac{1}{2})^2=1=1^2=(-1)^2\)
\(\Rightarrow \left[\begin{matrix} x+\frac{1}{2}=1\\ x+\frac{1}{2}=-1\end{matrix}\right.\)
\(\Rightarrow \left[\begin{matrix} x=\frac{1}{2}\\ x=\frac{-3}{2}\end{matrix}\right.\)
c)
(2x-3)2=9\(\Rightarrow\)(2x-3)2=32 hoặc (2x-3)2=(-3)2
\(\Rightarrow\)2x-3=3 hoặc 2x-3=-3
\(\Rightarrow\)2x=6 hoặc 2x=0
\(\Rightarrow\)x=3 hoặc x=0