-6 | 2x - 14 | = -42
I need the solution set please & how to solve it
absolute value solving -6 | 2x - 14 | = -42?
2008-09-19 4:30 pm
回答 (4)
2008-09-19 5:38 pm
✔ 最佳答案
-6|2x - 14| = -42|2x - 14| = -42/-6
|2x - 14| = 7
2x - 14 = ±7
2x - 14 = 7
2x = 7 + 14
2x = 21
x = 21/2 (10.5)
2x - 14 = -7
2x = -7 + 14
2x = 7
x = 7/2 (3.5)
∴ x = 7/2 (3.5) , 21/2 (10.5)
2008-09-19 11:37 pm
-6 | 2x - 14 | = -42
| 2x - 14 | = 7
2x-14=-7 or 2x-14=7
x=7/2 or x=21/2
| 2x - 14 | = 7
2x-14=-7 or 2x-14=7
x=7/2 or x=21/2
2008-09-19 11:44 pm
Divide by -6
|2x-14| =7
case 1 : 2x-14 > 0
|2x-14| = 2x-14
2x-14 =7
2x=21
x=21/2
case 2:
2x-14 < 0
|2x-14|=-(2x-14) = -2x+14
-2x+14 = 6
-2x = -8
x=4
x=4,x=21/2
|2x-14| =7
case 1 : 2x-14 > 0
|2x-14| = 2x-14
2x-14 =7
2x=21
x=21/2
case 2:
2x-14 < 0
|2x-14|=-(2x-14) = -2x+14
-2x+14 = 6
-2x = -8
x=4
x=4,x=21/2
2008-09-19 11:39 pm
-6 | 2x -14 | =-42 Divide -42 by -6, which gets rid of the -6
|2x +14 | = 7 Then Solve.
-14 -14
|2x| = -7 Divide by 2 on both sides.
x= -7/2
|2x +14 | = 7 Then Solve.
-14 -14
|2x| = -7 Divide by 2 on both sides.
x= -7/2
參考: Taking Algebra 2 and we just tested on this.
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