| x | \(-\frac{1}{2}\) | \(\frac{3}{2}\) | |||
| 2x+1 | - | 0 | + | | | + |
| 2x-3 | - | | | - | 0 | + |
+) Nếu \(x\le-\frac{1}{2}\Leftrightarrow\left|2x-3\right|=3-2x\)
\(\left|2x+1\right|=-2x-1\)
\(pt\Leftrightarrow3-2x-2x-1=4\)
( nhập vào máy )
\(\Leftrightarrow x=-0,5\left(tm\right)\)
+) Nếu \(-\frac{1}{2}< x< \frac{3}{2}\)thì | 2x - 3 | = 3 - 2x
| 2x + 1 | = 2x + 1
\(pt\Leftrightarrow3-2x+2x+1=4\)
\(\Leftrightarrow x=-0,5\)( loại )
+) Nếu \(x\ge\frac{3}{2}\)thì | 2x - 3 | = 2x - 3
| 2x + 1 | = 2x + 1
\(pt\Leftrightarrow2x-3+2x+1=4\)
\(\Leftrightarrow x=1,5\left(tm\right)\)
Vậy \(x\in\left\{-0,5;1,5\right\}\)
