\(\left(x-\dfrac{3}{2}\right)^2=\dfrac{9}{4}\)
\(\Rightarrow\left(x-\dfrac{3}{2}\right)^2=\left(\dfrac{3}{2}\right)^2\)
\(\Leftrightarrow x-\dfrac{3}{2}=\dfrac{3}{2}\)
\(\Rightarrow x=\dfrac{6}{2}\)
\(\left(x-\dfrac{3}{2}\right)^2=\dfrac{9}{4}\)
\(\left(x-\dfrac{3}{2}\right)^2=\left(\dfrac{3}{2}\right)^2\)
=>\(x-\dfrac{3}{2}=\dfrac{3}{2}\)
\(x=\dfrac{3}{2}+\dfrac{3}{2}\)
\(x=3\)