\(4\cdot x^6=9\cdot x^4\)
\(4\cdot x^2=9\)
\(x^2=\frac{9}{4}\)
\(x^2=\left(\frac{3}{2}\right)^2\)
\(\Rightarrow x=\frac{3}{2}\)
Vậy x=\(\frac{3}{2}\)
4x6=9x4
=>4x6-9x4=0
=>x4(4x2-9)=0
=>x4[(2x)2-32]=0
=>x4(2x+3)(2x-3)=0
=> x=0 ; \(\Rightarrow\orbr{\begin{cases}2x+3=0\\2x-3=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{-3}{2}\\x=\frac{3}{2}\end{cases}}\)
Vậy x=0 hoặc x=\(\pm\frac{3}{2}\)