tentukan nilai mutlak dari (6x - 2) = 2

Mapel : Matematika
Kelas : X SMA
Materi : Persamaan Nilai Mutlak

Pembahasan :
Cara 1

|6x - 2| = 2

6x - 2 = 2
6x = 4
x = 2/3

6x - 2 = -2
6x = 0
x = 0

Hp : {0 , 2/3}

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Cara 2

|6x - 2| = 2
(6x - 2)² = 2²
(6x - 2)² - 2² = 0
(6x - 2 + 2)(6x - 2 - 2) = 0
(6x)(6x - 4) = 0
36x² - 24x = 0
6x² - 4x = 0
3x² - 2x = 0
x(3x - 2) = 0
x = 0
x = 2/3

Hp : {0 , 2/3}