Tentukan nilai x dr persamaan mutlak 1. | 2x-1 | + | 3x-8 | = 5 2. | 2x-1 | = | 4x+3 |

Mapel : Matematika
Kelas : X SMA
Bab : Mutlak

Pembahasan ;
|2x - 1| + |3x - 8| = 5

2x - 1 + 3x - 8 = 5
5x - 9 = 5
5x = 14
x = 14/5

2x - 1 + 3x - 8 = -5
5x - 9 = -5
5x = -5 + 9
5x = 4
x = 4/5

Hp : {4/5 , 14/5}

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|2x - 1| = |4x + 3|
(2x - 1)² = (4x + 3)²
(4x + 3)² - (2x - 1)² = 0
(6x + 2)(2x + 4) = 0
x = -1/3
x = -2

Hp : {-2 , -1/3}