[tex]x^2-3x+2=0\\
x^2-x-2x+2=0\\
x(x-1)-2(x-1)=0\\
(x-2)(x-1)=0\\
x=2 \vee x=1\\\\\
x^2-3x+2=0\\
x^2-3x+\frac{9}{4}-\frac{1}{4}=0\\
(x-\frac{3}{2})^2=\frac{1}{4}\\
x-\frac{3}{2}=\sqrt{\frac{1}{4}} \vee x-\frac{3}{2}=-\sqrt{\frac{1}{4}}\\
x-\frac{3}{2}=\frac{1}{2} \vee x-\frac{3}{2}=-\frac{1}{2}\\
x=\frac{4}{2} \vee x=\frac{2}{2}\\
x=2 \vee x=1[/tex]
