hitung nilai x, (jika ada) serta alasanmu! a. |4 - 3x| = |-4| b. 2 |3x - 8| = 10 c. 2x + |3x-8| = -4 d. 5|2x - 3| = 3|3 - 5x| e. 2x + |8 - 3x| = |x - 4| . tolon

Mapel : Matematika
Kelas : X SMA
Bab : Mutlak

Pembahasan :
|4 - 3x| = |-4|
|4 - 3x| = 4
(4 - 3x)² - 4² = 0
(8 - 3x)(-3x) = 0
9x² - 24x = 0
3x² - 8x = 0
3x(x - 8) = 0
x = 0
x = 8

Hp : {0,8}

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2|3x - 8| = 10
|3x - 8| = 5
(3x - 8)² - 5² = 0
(3x - 3)(3x - 13) = 0
x = 13/3
x = 1

Hp : {1 , 13/3}

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

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

2x + 3x - 8 = -(-4)
5x - 8 = 4
5x = 12
x = 12/5

Hp : {4/5 , 12/5}

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5|2x - 3| = 3|3 - 5x|
(10x - 15)² - (9 - 15x)² = 0
(-5x - 6)(25x - 24) = 0
x = -6/5
x = 24/25

Hp : {-6/5 , 24/25}

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

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

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

Hp : {2,6}