Tentuka himpunan penyelesaian dari | x+4 | - | 1-x | = 0

Materi : Persamaan Mutlak

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

Hp : {-3/2}

DIRGAHAYU RI KE-72 !!!
JAYALAH INDONESIAKU !!!

| x+4 | - | 1-x | = 0

Penyelesaian :

| x+4 | = | 1-x |
(x+4)² = (1-x)²
x² + 8x + 16 = 1 - 2x + x²
10x = -15
x = -15/10 = -3/2

Hp = {-3/2}