Question

5x+|3x-6|=0

giải cả hai trường hợp cho mk nha

Answer 1

5x + |3x - 6| = 0

|3x - 6| = 5x

\(\Rightarrow\orbr{\begin{cases}3x-6=5x\\3x-6=-5x\end{cases}}\Rightarrow\orbr{\begin{cases}2x=-6\\-8x=-6\end{cases}\Rightarrow\orbr{\begin{cases}x=-3\\x=\frac{3}{4}\end{cases}}}\)

Answer 2

\(5x+\left|3x-6\right|=0\Leftrightarrow\left|3x-6\right|=-5x\)

|3x-6| >/  0  => x \<  0 

\(\Rightarrow\orbr{\begin{cases}3x-6=-5x\\3x-6=5x\end{cases}\Rightarrow\orbr{\begin{cases}8x=6\\2x=-6\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{3}{4}\left(ko-thoa\right)\\x=-\frac{3}{2}\end{cases}}}\)

Vậy x=-3/2