Question

I2x-3I-I3x+2I=0

giúp mình giải nha!

 

Answer 1

\(\left|2x-3\right|-\left|3x+2\right|=0\)

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

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

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

\(\Leftrightarrow\orbr{\begin{cases}-x=5\\5x=1\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=-5\\x=\frac{1}{5}\end{cases}}\)

                  Vậy \(x\in\left\{-5;\frac{1}{5}\right\}\)