tentukanlah nilai x dari persamaan nilai mutlak berikut 1.|4x+3|=7 2.|3x-8|=4 3.|4x-6|=10 4.|5-2x|=11

Mapel : Matematika
Kelas : X SMA
Materi : Persamaan Nilai mutlak

Pembahasan :
|4x + 3| = 7

4x + 3 = 7
4x = 4
x = 1

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

Hp : {-5/2 , 1}

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|3x - 8| = 4
(3x - 8)² = 4²
(3x - 8)² - 4² = 0
(3x - 4)(3x - 12) = 0
x = 4/3
x = 4

Hp : {4/3 , 4}

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|4x - 6| = 10

4x - 6 = 10
4x = 16
x = 4

4x - 6 = -10
4x = -4
x = -1

Hp : {-1 , 4}

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|5 - 2x| = 11

5 - 2x = 11
2x = 5 - 11
2x = -6
x = -3

5 - 2x = -11
2x = 5 + 11
2x = 16
x = 8

Hp : {-3 , 8}