\(\left(2y-3\right)^2-\left(y-1\right)^2=0\)
\(\Leftrightarrow\left(2y-3-y+1\right)\cdot\left(2y-3+y-1\right)=0\)
\(\Leftrightarrow\left(y-2\right)\left(3y-4\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}y-2=0\\3y-4=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}y=2\\y=\dfrac{4}{3}\end{matrix}\right.\)
\(\left(2y-3\right)^2-\left(y-1\right)^2=0\)
\(\Rightarrow\left(4y^2-12y+9\right)-\left(y^2-2y+1\right)=0\)
\(\Rightarrow4y^2-12y+9-y^2+2y-1=0\)
\(\Rightarrow\left(4y^2-y^2\right)+\left(2y-12y\right)+\left(9-1\right)=0\)
\(\Rightarrow3y^2-10y+8=0\)
Đến đây pttđnt là ra
