Question

tìm x:

|x-1|+|x-2|=x-3

ai đúng và nhanh mình sẽ tick cho!thank you!

Answer 1

Ta có : \(\left|x-1\right|+\left|x-2\right|=x-3\)

\(\Leftrightarrow\left\{{}\begin{matrix}x-1+x-2=x-3\\x-1+x-2=-x-3\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x+x-x=1+2-3\\x+x+x=1+2-3\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\3x=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=0\end{matrix}\right.\)

Vậy \(x=0\)