\(u=f\left(x^2-4x\right)\)
\(5u^2-\left(m+5\right)u+m=0\)
\(\Leftrightarrow5u\left(u-1\right)-m\left(u-1\right)=0\)
\(\Leftrightarrow\left(5u-m\right)\left(u-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}u=\dfrac{m}{5}\\u=1\end{matrix}\right.\)
BBT hàm u (với x>0):
Đường \(u=1\) cho 5 nghiệm
\(\Rightarrow u=\dfrac{m}{5}\) cho 3 nghiệm
\(\Rightarrow-3< \dfrac{m}{5}< -2\)