Question

Giai phương trình :

a ) \(\left|x-2\right|-3x=5\)

Answer 1

\(\left|x-2\right|-3x=5\)

\(\Rightarrow\left[\begin{array}{nghiempt}x-2-3x=5\\2-x-3x=5\end{array}\right.\)

\(\Rightarrow\left[\begin{array}{nghiempt}-2x=7\\-4x=3\end{array}\right.\)

\(\Rightarrow\left[\begin{array}{nghiempt}x=-\frac{7}{2}\\x=-\frac{3}{4}\end{array}\right.\)

Answer 2

\(\left|x-2\right|-3x=5\)

\(\Leftrightarrow\left|x-2\right|=3x+5\)

+ ) \(x< 2\)

pt \(\Leftrightarrow2-x=3x+5\)

     \(\Leftrightarrow-x-3x=5-2\)

     \(\Leftrightarrow-4x=3\)

     \(\Leftrightarrow x=-\frac{3}{4}\) |( nhận )

pt \(\Leftrightarrow x-2=3x+5\)

   \(\Leftrightarrow x-3x=5+2\)

    \(\Leftrightarrow-2x=7\)

    \(\Leftrightarrow x=-\frac{7}{2}\) ( loại )

Vậy .................