| X-5 |=15 tentukan himpunan penyelesainnya

| X-5 |=15

x- 5 = 15
x = 20

atau
x- 5 = -15
x = -10

Hp ={-10,20}

Matematika Wajib
Persamaan Mutlak X SMA

Pembahasan :
Cara 1

|x - 5| = 15

x - 5 = 15
x = 15 + 5
x = 20

x - 5 = -15
x = -15 + 5
x = -10

Hp : {-10 , 20}

————————————————
Cara 2

|x - 5| = 15
(x - 5)² = 15²
(x - 5)² - 15² = 0
(x - 5 + 15)(x - 5 - 15) = 0
(x + 10)(x - 20) = 0
x = -10
x = 20

Hp : {-10 , 20}