$\text{Đáp án + Giải thích các bước giải:}$
`1//x^{2}-3x+11(x-3)=0`
`<=>x(x-3)+11(x-3)=0`
`<=>(x-3)(x+11)=0`
`<=>` \(\left[ \begin{array}{l}x-3=0\\x+11=0\end{array} \right.\)
`<=>` \(\left[ \begin{array}{l}x=3\\x=-11\end{array} \right.\)
`\text{Vậy}` `S={3;-11}`
`2//|2x-3|=12`
`<=>2x-3=±12`
`<=>` \(\left[ \begin{array}{l}2x=15\\2x=-9\end{array} \right.\)
`<=>` \(\left[ \begin{array}{l}x=\dfrac{15}{2}\\x=-\dfrac{9}{2}\end{array} \right.\)
`\text{Vậy}` `S={(15)/(2);-(9)/(2)}`