|3x+8/x+1|= 2 adalah

Bab Nilai Mutlak
Matematika SMA Kelas X

|(3x + 8)/(x + 1)| = 2

(3x + 8) / (x + 1) = 2
3x + 8 = 2 (x + 1)
3x + 8 = 2x + 2
3x - 2x = 2 - 8
x = -6

(3x + 8) / (x + 1) = -2
3x + 8 = -2 (x + 1)
3x + 8 = -2x - 2
3x + 2x = -2 - 8
5x = -10
x = -2

HP = {-6, -2}

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

Pembahasan :
|3x + 8 / x + 1| = 2
|3x + 8| = 2|x + 1|
(3x + 8)² = (2x + 2)²
(3x + 8)² - (2x + 2)² = 0
(5x + 10)(x + 6) = 0
x = -2
x = -6

Hp : {-6 , -2}