Nilai × yang memenuhi persamaan nilai mutlak [2×-1]=[×+3]

|2x - 1| = |x + 3|

2x - 1 = x + 3
2x - x = 3 + 1
x = 4

2x - 1 = -(x + 3)
2x - 1 = -x - 3
2x + x = -3 + 1
3x = -2
x = -2/3

Hp = { -2/3, 4}

Kelas 10 Matematika
Bab Nilai Mutlak

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

x - 4 = 0
x = 4

{ -2/3, 4 }