Question

Tentukan nilai x yg memenuhi persamaan nilai mutlak berikut
2x + 3 = |4x + 5|

Answer 1

Verified answer

Materi Nilai Mutlak

Menurut definisi,
|4x+5| = 4x+5 jika x>= -5/4,
2x+3 = 4x+5
-2x=2
x = -1 (memenuhi)

|4x+5| = -4x-5 jika x < -5/4,
2x+3 = -4x-5
6x = -8
x = -4/3 (memenuhi)

Jadi, HP = {-4/3, -1}