\(\left(\dfrac{1}{3}-\dfrac{3}{2}.x\right)^2=\dfrac{9}{4}\)
\(\left(\dfrac{1}{3}-\dfrac{3}{2}.x\right)^2=\left(\dfrac{3}{2}\right)^2\) hoặc \(\left(\dfrac{1}{3}-\dfrac{3}{2}.x\right)^2=\left(\dfrac{-3}{2}\right)^2\)
\(=>\dfrac{1}{3}-\dfrac{3}{2}x=\dfrac{3}{2}\) hoặc \(\dfrac{1}{3}-\dfrac{3}{2}x=\dfrac{-3}{2}\)
\(\dfrac{3}{2}x=\dfrac{3}{2}+\dfrac{1}{3}\) hoặc \(\dfrac{3}{2}x=\dfrac{-3}{2}+\dfrac{1}{3}\)
\(\dfrac{3}{2}x=\dfrac{9}{6}+\dfrac{2}{6}\) hoặc \(\dfrac{3}{2}x=-\dfrac{9}{6}+\dfrac{2}{6}\)
\(\dfrac{3}{2}x=\dfrac{11}{6}\) hoặc \(\dfrac{3}{2}x=\dfrac{-7}{6}\)
\(x=\dfrac{11}{6}:\dfrac{3}{2}=\dfrac{11}{6}.\dfrac{2}{3}\) hoặc \(x=\dfrac{-7}{6}:\dfrac{3}{2}=\dfrac{-7}{6}.\dfrac{2}{3}\)
\(x=\dfrac{11}{9}\) hoặc \(x=-\dfrac{7}{9}\)
Vậy...
Mình sửa lại ( từ dòng 4 trở xuống ):
... \(\dfrac{3}{2}x=\dfrac{1}{3}-\dfrac{3}{2}\) hoặc \(\dfrac{3}{2}x=\dfrac{1}{3}+\dfrac{3}{2}\)
\(\dfrac{3}{2}x=\dfrac{2}{6}-\dfrac{9}{6}\) hoặc \(\dfrac{3}{2}x=\dfrac{2}{6}+\dfrac{9}{6}\)
\(\dfrac{3}{2}x=-\dfrac{7}{6}\) hoặc \(\dfrac{3}{2}x=\dfrac{11}{6}\)
\(x=-\dfrac{7}{6}:\dfrac{3}{2}=\dfrac{-7}{6}.\dfrac{2}{3}\) hoặc \(x=\dfrac{11}{6}:\dfrac{3}{2}=\dfrac{11}{6}.\dfrac{2}{3}\)
\(x=\dfrac{-7}{9}\) hoặc \(x=\dfrac{11}{9}\)
Vậy...