\(\left(x+\dfrac{1}{2}\right)^2=1\\ \Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{2}=1\\x+\dfrac{1}{2}=-1\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=-\dfrac{3}{2}\end{matrix}\right.\)
`(x+1/2)^2=1`
`@TH1:(x+1/2)^2=1^2`
`=>x+1/2=1`
`=>x=1-1/2=1/2`
`@TH2:(x+1/2)^2=(-1)^2`
`=>x+1/2=-1`
`=>x=-1-1/2=-3/2`
`=> x + 1/2 = +-1`
`=> x + 1/2 = 1`
`x + 1/2 = -1`
`=> x = 1/2`
`x = -3/2`.