a. Em tự giải
b.
\(ac=-9< 0\Rightarrow\) pt luôn có 2 nghiệm pb trái dấu
Mà \(x_1< x_2\Rightarrow x_1< 0< x_2\Rightarrow\left\{{}\begin{matrix}\left|x_1\right|=-x_1\\\left|x_2\right|=x_2\end{matrix}\right.\)
Theo hệ thức Viet: \(\left\{{}\begin{matrix}x_1+x_2=2\left(m+1\right)\\x_1x_2=-9\end{matrix}\right.\)
\(\left|x_1\right|-\left|x_2\right|=-6\)
\(\Leftrightarrow-x_1-x_2=-6\)
\(\Leftrightarrow x_1+x_2=6\)
\(\Leftrightarrow2\left(m+1\right)=6\)
\(\Rightarrow m=2\)