nilai mutlak dari |4x-3|=|-4|

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

Pembahasan :
Cara 1

|4x - 3| = |-4|
|4x - 3| = 4

4x - 3 = 4
4x = 7
x = 7/4

4x - 3 = -4
4x = -1
x = -1/4

Hp : {-1/4 , 7/4}

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Cara 2

|4x - 3| = |-4|
|4x - 3| = 4
(4x - 3)² = 4²
(4x - 3)² - 4² = 0
(4x - 3 + 4)(4x - 3 - 4) = 0
(4x + 1)(4x - 7) = 0
x = 7/4
x = -1/4

Hp : {-1/4 , 7/4}