\(\left(2x-\dfrac{3}{2}\right)^2=\dfrac{49}{81}\\ \Rightarrow\left(2x-\dfrac{3}{2}\right)^2=\left(\dfrac{7}{9}\right)^2\\ \Rightarrow2x-\dfrac{3}{2}=\pm\dfrac{7}{9}\\ \Rightarrow\left[{}\begin{matrix}2x-\dfrac{3}{2}=\dfrac{7}{9}\\2x-\dfrac{3}{2}=-\dfrac{7}{9}\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2x=\dfrac{41}{18}\\2x=\dfrac{13}{18}\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{41}{36}\\x=\dfrac{13}{36}\end{matrix}\right.\)
(2x-3/2)2=49/81=(7/9)2
=>2x-3/2=7/9 hoặc 2x-3/2=-7/9
=>x=41/36 hoặc x=13/36.
\(\left(2x-\dfrac{3}{2}\right)^2=\dfrac{49}{81}=\left(\dfrac{7}{9}\right)^2=\left(-\dfrac{7}{9}\right)^2\\ \Rightarrow\left[{}\begin{matrix}2x-\dfrac{3}{2}=\dfrac{7}{9}\\2x-\dfrac{3}{2}=-\dfrac{7}{9}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=\dfrac{7}{9}+\dfrac{3}{2}=\dfrac{41}{18}\\2x=-\dfrac{7}{9}+\dfrac{3}{2}=\dfrac{13}{18}\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{41}{18}:2=\dfrac{41}{36}\\x=\dfrac{13}{18}:2=\dfrac{13}{36}\end{matrix}\right.\)
