Question

Tentukan himpunan penyelesaian dari 2|4x-8|=8

Answer 1

Verified answer

Bab Nilai Mutlak
Matematika SMA Kelas X

2|4x - 8| = 8
|4x - 8| = 8/2
|4x - 8| = 4

(4x - 8)² = 4²
(4x - 8)² - 4² = 0
(4x - 8 + 4) (4x - 8 - 4) = 0
(4x - 4) (4x - 12) = 0
4x - 4 = 0        atau           4x - 12 = 0
4x = 4                               4x = 12
x = 1                                 x = 3

HP = { 1, 3 }

Answer 2

Verified answer

Materi : Persamaan Mutlak

Pembahasan :
2|4x - 8| = 8
|4x - 8| = 4
|x - 2| = 1
(x - 2)² = 1²
(x - 2)² - 1² = 0
(x - 2 + 1)(x - 2 - 1) = 0
(x - 1)(x - 3) = 0
x = 1 atau x = 3

Hp : {1 , 3}