Question

Giải phương trình : |x-5|-3x-2

Answer 1

Giải phương trình : |x-5|=3x-2

\(\left[\begin{array}{} x-5=3x-2 \\ x-5=-(3x-2) \end{array}\right.\) <=> \(\left[\begin{array}{} x-3x=-2+5 \\ x-5=-3x+2 \end{array}\right.\) <=> \(\left[\begin{array}{} -2x=3 \\ x+3x=2+5 \end{array}\right.\)

<=> \(\left[\begin{array}{} x=\dfrac{-3}{2} \\ 4x=7 \end{array}\right.\) <=> \(\left[\begin{array}{} x=\dfrac{-3}{2} (TM)\\ x=\dfrac{7}{4} (TM) \end{array}\right.\)