Question

|6x-12| = |x+8|
|3x+8| = |4-2x|

Answer 1

Verified answer

Materi : Persamaan Mutlak

Pembahasan :
|6x - 12| = |x + 8|

Syarat Pertama, ruas kanan Positif
6x - 12 = x + 8
6x - x = 8 + 12
5x = 20
x = 4

Syarat Kedua, ruas kanan Negatif
6x - 12 = -(x + 8)
6x - 12 = -x - 8
6x + x = -8 + 12
7x = 4
x = 4/7

Hp : {4/7 , 4}

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|3x + 8| = |4 - 2x|

Syarat Pertama, ruas kanan Positif
3x + 8 = 4 - 2x
3x + 2x = 4 - 8
5x = -4
x = -4/5

Syarat Kedua, ruas kanan Negatif
3x + 8 = -(4 - 2x)
3x + 8 = 2x - 4
3x - 2x = -4 - 8
x = -12

Hp : {-12 , -4/5}