4 |3x+1|-7 = -6 nilai mutlak

Matematika Wajib
Persamaan Mutlak X SMA

Pembahasan :
4|3x + 1| - 7 = -6
4|3x + 1| = -6 + 7
4|3x + 1| = 1
|3x + 1| = 1/4
(3x + 1)² = (1/4)²
(3x + 1)² - (1/4)² = 0
(3x + 1 + 1/4)(3x + 1 - 1/4) = 0
(3x + 5/4)(3x + 3/4) = 0
x = -5/12
x = -1/4

Hp : {-5/12 , -1/4}

Bab Nilai Mutlak
Matematika SMA Kelas X

4 | 3x + 1| - 7 = - 6
4 |3x + 1| = 7 - 6
|3x + 1| = 1/4

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

3x + 1 = - 1/4
3x = - 1 - 1/4
x = -5/4 . 1/3
x = -5/12

HP = { -5/12, -1/4 }