\(a,4x\left(x-100\right)-x+100=0\)
\(\Leftrightarrow4x\left(x-100\right)-\left(x-100\right)=0\)
\(\Leftrightarrow\left(x-100\right)\left(4x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-100=0\\4x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=100\\x=\dfrac{1}{4}\end{matrix}\right.\)
Vậy...............
\(b,x^3-11x=0\)
\(\Leftrightarrow x\left(x^2-11\right)=0\)
\(\Leftrightarrow x\left(x-\sqrt{11}\right)\left(x+\sqrt{11}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x-\sqrt{11}=0\\x+\sqrt{11}=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\sqrt{11}\\x=-\sqrt{11}\end{matrix}\right.\)
Vậy........
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