Question

Answer 1

a: |3x|=|x-2|

=>3x=x-2 hoặc 3x=2-x

=>2x=-2 hoặc 4x=2

=>x=-1 hoặc x=1/2

b: |2x+1|=|x|

=>2x+1=x hoặc 2x+1=-x

=>x=-1 hoặc x=-1/3

c: =>|5x|=x-10

\(\Leftrightarrow\left\{{}\begin{matrix}25x^2=\left(x-10\right)^2\\x>=10\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\left(5x-x+10\right)\left(5x+x-10\right)=0\\x>=10\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left(4x+10\right)\left(6x-10\right)=0\\x>=10\end{matrix}\right.\Leftrightarrow x\in\varnothing\)