Bài 2 :
a ) \(x^3-16x=0\)
\(\Leftrightarrow x\left(x^2-16\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x^2-16=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=\pm4\end{matrix}\right.\)
Vậy--..
b ) \(x^4-2x^3+10x^2-20x=0\)
\(\Leftrightarrow x^3\left(x-2\right)+10x\left(x-2\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(x^3+10x\right)=0\)
\(\Leftrightarrow x\left(x-2\right)\left(x^2+10\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x-2=0\Rightarrow x=2\\x^2+10=0\left(loại\right)\end{matrix}\right.\)
Vậy =--...
c ) \(\left(2x-1\right)^2=\left(x+3\right)^2\)
\(\Leftrightarrow\left(2x-1\right)^2-\left(x+3\right)^2=0\)
\(\Leftrightarrow\left(2x-1-x-3\right)\left(2x-1+x+3\right)=0\)
\(\Leftrightarrow\left(x-4\right)\left(3x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-4=0\\3x+2=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4\\x=-\dfrac{2}{3}\end{matrix}\right.\)
Vậy=.
d ) \(x^2\left(x-2\right)-2x^2+8x-8=0\)
\(\Leftrightarrow x^3-2x^2-2x^2+8x-8=0\)
\(\Leftrightarrow x^3-4x^2+8x-8=0\)
\(\Leftrightarrow\) \(\left(x-2\right)^3=0\)
\(\Rightarrow x=2\)
