persamaan nilai mutlak |2x+11|=35

Bab Nilai Mutlak
Matematika SMA Kelas X

|2x + 11| = 35

2x + 11 = 35
2x = 35 - 11
x = 24/2
x = 12

2x + 11 = -35
2x = -35 - 11
x = -46/2
x = -23

HP = { -23, 12 }

Materi : Persamaan Mutlak

Pembahasan :
|2x + 11| = 35
(2x + 11)² = 35²
(2x + 11)² - 35² = 0
(2x + 11 + 35)(2x + 11 - 35) = 0
(2x + 46)(2x - 24) = 0
x = -23
x = 12

Hp : {-23 , 12}