Question

tim x biet |2-3x|=x-1

Answer 1

|2-3x|=x-1

2-3x=x-1 hoặc 2-3x=x-1

TH1:2-3x=x-1

3x-x=2-(-1)

2x=2+1

2x=3

x=3/2

TH2:2-3x=-(x-1)

2-3x=-x+1

3x+x=2-1

4x=1

x=1/4

Answer 2

Ta có : |2 - 3x| = x - 1

\(\Leftrightarrow\orbr{\begin{cases}2-3x=x-1\\2-3x=-x+1\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}-3x-x=-1-2\\-3x+x=1-2\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}-4x=-3\\-2x=-1\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=\frac{3}{4}\\x=\frac{1}{2}\end{cases}}\)