Hp dari: 1.) |x-2|=|3-2x| 2.) |x+1|-|1-x|=2 3.) |5x+3|=|3x+5|

Mapel : Matematika
Kelas : X SMA
Materi : Persamaan Mutlak

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

Hp : {1 , 5/3}

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

x + 1 - 1 + x = 2
2x = 2
x = 1

x + 1 - 1 + x = -2
2x = -2
x = -1

Hp : {-1 , 1}

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|5x + 3| = |3x + 5|
(5x + 3)² - (3x + 5)² = 0
(8x + 8)(2x - 2) = 0
x = -1
x = 1

Hp : {-1 , 1}