\(\left|x-3\right|+\left|x-5\right|=2x\)
\(\Leftrightarrow x-3+x-5=2x\)
\(\Leftrightarrow\left(x+x\right)-\left(3+5\right)=2x\)
\(\Leftrightarrow2x-8=2x\)
\(\Leftrightarrow2x-2x=8\)
\(\Leftrightarrow0x=8\) (vô lí)
\(\Leftrightarrow\) ko tìm dc x thỏa mãn
Đúng 0
Bình luận (2)
\(\left|x-3\right|+\left|x-5\right|=2x\)
\(\left\{{}\begin{matrix}\left|x-3\right|\ge0\\\left|x-5\right|\ge0\end{matrix}\right.\) \(\Rightarrow\left|x-3\right|+\left|x-5\right|\ge0\)
\(\Rightarrow2x\ge0\)
\(\Rightarrow x-3+x-5=2x\)
\(\Rightarrow2x-8=2x\)
\(\Rightarrow x\in\varnothing\)
Đúng 0
Bình luận (1)
