1. |2x-1|=7 2. |x+3|=|2x-3| 3. |3x+1|+|2x-4|=10 Bagaimana cara menyelesaikannya? Mohon bantuannya

Mapel : Matematika
Kelas : X SMA
Bab : Mutlak

Pembahasan :
|2x - 1| = 7
(2x - 1)² = 7²
(2x - 1)² - 7² = 0
(2x + 6)(2x - 8) = 0
x = -3
x = 4

Hp : {-3 , 4}

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|x + 3| = |2x - 3|
(2x + 3)² = (x + 3)²
(2x + 3)² - (x + 3)² = 0
(3x + 6)(x) = 0
3x² + 6x = 0
x² + 2x = 0
x(x + 2) = 0
x = 0
x = -2

Hp : {-2 , 0}

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|3x + 1| + |2x - 4| = 10

3x + 1 + 2x - 4 = 10
5x - 3 = 10
5x = 13
x = 13/5

3x + 1 + 2x - 4 = -10
5x - 3 = -10
5x = -7
x = -7/5

Hp : {-7/5 , 13/5}