\(\left\{{}\begin{matrix}ac=b^2\\ab=c^2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}a=\dfrac{b^2}{c}\\a=\dfrac{c^2}{b}\end{matrix}\right.\) \(\Rightarrow\dfrac{b^2}{c}=\dfrac{c^2}{b}\Rightarrow b^3=c^3\Rightarrow b=c\)
Thay vào \(ac=b^2\Rightarrow a.b=b^2\Rightarrow a=b\)
\(\Rightarrow a=b=c\)
\(\Rightarrow M=\dfrac{a^{2011}}{a^{2005}.a^{2006}}=\dfrac{a^{2011}}{a^{2011}}=1\)
Đúng 0
Bình luận (0)