a) \(\Rightarrow5x\left(x-200\right)-\left(x-200\right)=0\)
\(\Rightarrow\left(x-200\right)\left(5x-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=200\\x=\dfrac{1}{5}\end{matrix}\right.\)
b) \(\Rightarrow x\left(x^2-11\right)=0\)
\(\Rightarrow x\left(x-\sqrt{11}\right)\left(x+\sqrt{11}\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=\sqrt{11}\\x=-\sqrt{11}\end{matrix}\right.\)
a) 5x(x-200)-(x-200)=0
(x-200)(5x-1)=0
Th1 : x-200=0
X=200
Th2 : 5x-1=0
5x=1
X=1/5
Vậy S={200;1/5}
\(a,5x.\left(x-200\right)-x+200=0\)
\(\Rightarrow5x.\left(x-200\right)-\left(x-200\right)=0\)
\(\Rightarrow\left(5x-x\right).\left(x-200\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}5x-1=0\\x-200=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}5x=1\\x=200\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{5}\\x=200\end{matrix}\right.\)
\(b.x^3-11x=0\)
\(\Rightarrow x.\left(x^2-11\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x^2-11=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x^2=11\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\\left[{}\begin{matrix}x=\sqrt{11}\\x=-\sqrt{11}\end{matrix}\right.\end{matrix}\right.\)
