Đặt \(\dfrac{a}{4}=\dfrac{b}{6}=\dfrac{c}{9}=k\)
\(\Leftrightarrow\left\{{}\begin{matrix}a=4k\\b=6k\\c=9k\end{matrix}\right.\)
\(a^3+b^3+c^3=-1009\)
\(\Leftrightarrow k=1\)
\(\Leftrightarrow\left\{{}\begin{matrix}a=4k=4\\b=6k=6\\c=9k=9\end{matrix}\right.\)
