Question

/2x-1/-3x=2x+2

Answer 1

\( |2x-1|=\begin{cases}2x-1(x\ge \dfrac{1}{2})\\1-2x(x<\dfrac{1}{2})\)

TH1: \(x\ge \dfrac{1}{2}\)

\(\to 2x-1-3x=2x+2\\\leftrightarrow -x-1=2x+2\\\leftrightarrow -x-2x=2+1\\\leftrightarrow -3x=3\\\leftrightarrow x=-1(KTM)\)

TH2: \(x<\dfrac{1}{2}\)

\(\to 1-2x-3x=2x+2\\\leftrightarrow 1-5x=2x+2\\\leftrightarrow -5x-2x=2-1\\\leftrightarrow -7x=1\\\leftrightarrow x=-\dfrac{1}{7}(TM)\)

Vậy pt có tập nghiệm \(S=\{-\dfrac{1}{7}\}\)