Question

Tìm x: (làm chi tiết giúp e vs nha)

 x(x - 10) - x + 10 = 0

Answer 1

\(x\left(x-10\right)-x+10=0\\ \Rightarrow x\left(x-10\right)-\left(x-10\right)=0\\ \Rightarrow\left(x-1\right)\left(x-10\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-1=0\\x-10=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=1\\x=10\end{matrix}\right.\)

Answer 2

\(\Rightarrow x\left(x-10\right)-\left(x-10\right)=0\)

\(\Rightarrow\left\{{}\begin{matrix}x-1=0\\x-10=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=1\\x=10\end{matrix}\right.\)

Vậy \(x\in\left\{1;10\right\}\)