`(2x+1/2)^2= 9/16`
\(\left(2x+\dfrac{1}{2}\right)^2=\left(\pm\dfrac{3}{4}\right)^2\)
`@TH1:`
`2x+1/2=3/4`
`2x=3/4-1/2`
`2x=3/4-2/4`
`2x=1/4`
`x=1/4:2`
`x=1/4xx1/2`
`x=1/8`
`@TH2:`
`2x+1/2=-3/4`
`2x=-3/4-1/2`
`2x=-3/4-2/4`
`2x=-5/4`
`x=-5/4:2`
`x=-5/4xx1/2`
`x=-5/8`
\(\left(2x+\dfrac{1}{2}\right)^2=\dfrac{9}{16}\)
\(\left(2x+\dfrac{1}{2}\right)^2=\left(\dfrac{3}{4}\right)^2\)
`=>`\(\left[{}\begin{matrix}2x+\dfrac{1}{2}=\dfrac{3}{4}\\2x+\dfrac{1}{2}=-\dfrac{3}{4}\end{matrix}\right.\)
\(\left[{}\begin{matrix}2x=\dfrac{3}{4}-\dfrac{1}{2}=\dfrac{1}{4}\\2x=\left(-\dfrac{3}{4}\right)-\dfrac{1}{2}=-\dfrac{5}{4}\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=\dfrac{1}{8}\\x=-\dfrac{5}{8}\end{matrix}\right.\)
