Đáp án:
\(m \in R\)
Giải thích các bước giải:
\(\begin{array}{l}
Xet\,\,pthdgd:\,\,{x^2} + \left( {m - 1} \right)x + m = 2x + m + 1\\
\Rightarrow {x^2} + \left( {m - 3} \right)x - 1 = 0\,\,\left( * \right)\\
De\,\,hai\,\,do\,\,thi\,\,ham\,\,so\,\,cat\,\,nhau\,\,tai\,\,2\,\,diem\,\,pb\\
\Rightarrow \,\,\left( * \right)\,\,co\,\,2\,\,nghiem\,\,pb\\
\Rightarrow \Delta = {\left( {m - 3} \right)^2} - 4.\left( { - 1} \right) > 0\\
\Leftrightarrow {\left( {m - 3} \right)^2} + 4 > 0\,\,\left( {luon\,\,dung\,\,\forall m} \right)\\
\Rightarrow m \in R
\end{array}\)
