Question

Tìm x biết: Ix-3I = I2x+1I

Answer 1

| x - 3 | = | 2x + 1 |

\(\Rightarrow\orbr{\begin{cases}x-3=2x+1\\x-3=-\left(2x+1\right)\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x-2x=1+3\\x+2x=-1+3\end{cases}}\)

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

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

Answer 2

I x - 3 I = I 2x + 1 I   ₍₁₎

Xét \(x< \frac{-1}{2}\)ta co   \(\left(1\right)\Leftrightarrow3-x=-2x-1\Leftrightarrow x=-4\)(thỏa mãn)

Xét  \(\frac{-1}{2}\le x< 3\)ta có \(\left(1\right)\Leftrightarrow3-x=2x+1\Leftrightarrow3x=2\Leftrightarrow x=\frac{2}{3}\)(thỏa mãn)

Xét \(x\ge3\)ta có \(\left(1\right)\Leftrightarrow x-3=2x+1\Leftrightarrow x=-4\)(loại vì \(x\ge3\))