\(\Delta=9-4\left(m-1\right)=13-4m\ge0\Rightarrow m\le\frac{13}{4}\)
Theo hệ thức Viet: \(\left\{{}\begin{matrix}x_1+x_2=-3\\x_1x_2=m-1\end{matrix}\right.\)
\(x_1^5-x_1+32x_2^5-x_2=3\)
\(\Leftrightarrow x_1^5+\left(2x_2\right)^5+3=3\)
\(\Leftrightarrow x_1^5=-\left(2x_2\right)^5\)
\(\Rightarrow x_1=-2x_2\)
Kết hợp Viet: \(\left\{{}\begin{matrix}x_1+x_2=-3\\x_1=-2x_2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x_1=-6\\x_2=3\end{matrix}\right.\)
Mà \(x_1x_2=m-1\Rightarrow m-1=-18\Rightarrow m=-17\)
