a.
\(\left\{{}\begin{matrix}m\ne0\\\Delta'=\left(m+2\right)^2-m\left(m-1\right)>0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}m\ne0\\5m+4>0\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m\ne0\\m>-\frac{4}{5}\end{matrix}\right.\)
\(\Rightarrow m=\left\{1;2;3;4;5;6;7\right\}\)
b.
Pt hoành độ giao điểm: \(\left(m-2\right)x^2+2mx-3m+1=4x-2m\)
\(\Leftrightarrow\left(m-2\right)x^2+2\left(m-2\right)x-m+1=0\) (1)
d tiếp xuics (P) khi (1) có nghiệm kép
\(\Leftrightarrow\left\{{}\begin{matrix}m\ne2\\\Delta'=\left(m-2\right)^2-\left(m-2\right)\left(1-m\right)=0\end{matrix}\right.\)
\(\Leftrightarrow m=\frac{3}{2}\)
