Question

1.
|2x -1 | = | 4x +3|
2.

Answer 1

Verified answer

Nilai Mutlak
• Persamaan

1.]
|2x - 1| = |4x + 3|
(2x - 1 + 4x + 3)(2x - 1 - 4x - 3) = 0
(6x + 2)(-2x - 4) = 0

6x + 2 = 0 atau -2x - 4 = 0
x = -⅓ atau x = -2

HP : {-2 , -⅓}

2.]
|4 - ⅖ x| - 7 = 13
|4 - ⅖ x| = 20

4 - ⅖ x = 20 atau 4 - ⅖ x = -20
-⅖ x = 16 atau -⅖ x = -24
x = -40 atau x = 60

HP : {-40 , 60}

Answer 2

==Jawaban==

1). |2x - 1| = |4x + 3|

2x - 1 = 4x + 3
2x - 4x = 3 + 1
-2x = 4
x = 4/-2
x = -2

2x - 1 = -(4x + 3)
2x - 1 = -4x - 3
2x + 4x = -3 + 1
6x = -2
x = -2/6
x = -1/3

Hp = {-2, -1/3}

2). |4 - (2/5)x| - 7 = 13
|4 - (2/5)x| = 13 + 7
|4 - (2/5)x| = 20
|(20 - 2x)/5| = 20

(20 - 2x)/5 = 20
20 - 2x = 100
-2x = 100 - 20
-2x = 80
x = 80/-2
x = -40

(20 - 2x)/5 = -20
20 - 2x = -100
-2x = -100 - 20
-2x = --120
x = -120/-2
x = 60

Hp = {-40, 60}