1 tháng 12 2019 lúc 9:15
\(ab=c;bc=4a;ac=9b.\)
\(\Rightarrow ab.bc.ca=c.4a.9b\)
\(\Rightarrow\left(a.b.c\right)^2=36.a.b.c\)
TH1: \(a.b.c=0\)
\(\Rightarrow a=b=c=0.\)
TH2: \(a.b.c\ne0\)
\(\Rightarrow a.b.c=36\)
\(\Rightarrow\left\{{}\begin{matrix}c^2=36\Rightarrow c=\pm6\\4a^2=36\Rightarrow a^2=9\Rightarrow a=\pm3\\9b^2=36\Rightarrow b^2=4\Rightarrow b=\pm2\end{matrix}\right.\)
Vậy \(\left(a;b;c\right)=\left(0;0;0\right),\left(\pm2;\pm3;\pm4\right).\)
Chúc bạn học tốt!
