|5x-6|-4=10 Tolong yaa Dijawab secepatnya Gimana rumusnya

Bab Nilai Mutlak
Matematika SMA Kelas X

|5x - 6| - 4 = 10
|5x - 6| = 10 + 4
|5x - 6| = 14

5x - 6 = 14
5x = 14 + 6
x = 20/5
x = 4

5x - 6 = -14
5x = -14 + 6
x = -8/5

HP= { -8/5, 4 }

Materi : Persamaan Mutlak

Pembahasan :
|5x - 6| - 4 = 10
|5x - 6| = 14
(5x - 6)² = 14²
(5x - 6)² - 14² = 0
(5x - 6 + 14)(5x - 6 - 14) = 0
(5x + 8)(5x - 20) = 0
x = -8/5
x = 4

Hp : {-8/5 , 4}