Question

Tentukan nilai mutlaknya. Tolong pake cara kurtilas.
1. |x-6|+|3+2x|=20
2. | x+4|+|x+2|= 12

Answer 1

1)
a)
x-6 > 0 dan 3+2x > 0
x-6 + 3 +2x = 20
3x = 23 --> x = 23/3

b) x - 6 > 0  dan 3+ 2x < 0
x-6 -2x-3 = 20
-x -9 = 20
x = - 29 (TM)

c) x-6 < 0 dan 3+2x >0
6- x + 3 + 2x = 20
x +9 = 20
x = 11 (tm)

d) x -6<0 dan 3+2x < 0
6 - x -2x - 3 = 20
-3x +3 = 20
-3x = 17
x = - 17/3
HP ( -17/3,  23/3)