Question

|17x -5 | - |17x+5 | =0

 

Answer 1

=>|17x-5|=|17x+5|

=>17x-5=17x+5(vô lý) hoặc 17x-5=-17x-5

=>34x=0

hay x=0

Answer 2

 

\(\left|17x-5\right|=\left|17x+5\right|\)

\(\Leftrightarrow\left[{}\begin{matrix}17x-5=17x+5\\17x-5=-5-17x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}-5=5\left(loai\right)\\34x=0\end{matrix}\right.\Leftrightarrow x=0\)

 

Answer 3

\(\Leftrightarrow\left|17x-5\right|=\left|17x+5\right|\)

Xét \(17x-5\ge0\)

\(\Rightarrow17x-5=17x+5\left(voli\right)\)

Xét \(17x-5< 0\)

\(\Rightarrow17x-5=-17x-5\)

\(\Leftrightarrow34x=0\Leftrightarrow x=0\)

Vậy \(S=\left\{0\right\}\)