a ) | 2x - 1 | = | -7 |
| 2x - 1 | = 7
+ ) 2x - 1 = 7
2x = 8
x = 4
+ ) 2x - 1 = -7
2x = -6
x = -3
Vậy .........
b ) | x + 5 | = 0
x + 5 = 0
x = -5
Vậy ............
c ) 8x - 75 = 5x + 21
8x - 5x = 21 + 75
3x = 96
x = 32
Vậy .......
d ) 9x + 25 = -2x + 58
9x + 2x = 58 - 25
11x = 33
x = 3
Vậy ........
a, \(\left|2x-1\right|=\left|-7\right|\Rightarrow\left|2x-1\right|=7\)
\(\Rightarrow2x-1\in\left\{-7;7\right\}\)
+) \(2x-1=7\Rightarrow2x=7+1\)
\(\Rightarrow2x=8\Rightarrow x=8\div2=4\)
+) \(2x-1=-7\Rightarrow2x=-7+1\)
\(\Rightarrow2x=-6\Rightarrow x=-6\div2=-3\)
Vậy \(x\in\left\{-3;4\right\}\)
b, \(\left|x+5\right|=0\Rightarrow x+5=0\)
\(\Rightarrow x=0-5\Rightarrow x=-5\)
Vậy x = -5
c, \(8x-75=5x+21\Rightarrow8x-5x=21+75\)
\(\Rightarrow\left(8-5\right)x=96\Rightarrow3x=96\)
\(\Rightarrow x=96\div3\Rightarrow x=32\)
Vậy x = 32
d, \(9x+25=-\left(2x-58\right)\Rightarrow9x+25=-2x+58\)
\(\Rightarrow9x+2x=58-25\Rightarrow\left(9+2\right)x=33\)
\(\Rightarrow11x=33\Rightarrow x=33\div11\Rightarrow x=3\)
Vậy x = 3
