|2×-1|=|×+3| Penyelesain plsv nilai mutlak

Matematika Wajib
Persamaan Mutlak X SMA

Pembahasan :
Cara 1

|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
x = -2/3
x = 4

Hp : {-2/3 , 4}

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Cara 2

|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}

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

HP = {-2/3 , 4}