tolong jawabkan soal ini A.1|x|+1=5 B.2-|x-1|=x C.|5x+3|=|2x|

Mapel : Matematika
Kelas : X SMA
Bab : Mutlak

Pembahasan :
1|x| + 1 = 5
|x| = 4

Maka x = -4 atau x = 4

Hp : {-4 , 4}

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2 - |x - 1| = x
|x - 1| = 2 - x
(x - 1)² = (2 - x)²
(x - 1)² - (2 - x)² = 0
(-3)(2x - 3) = 0
-6x + 9 = 0
6x = 9
x = 3/2

Hp : {3/2}

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|5x + 3| = |2x|
(5x + 3)² = (2x)²
(5x + 3)² - (2x)² = 0
(3x + 3)(7x + 3) = 0
x = -3/7
x = -1

Hp : {-3/7 , -1}