tentukan nilai x yang memenuhi persamaan |x+1| = |2x-3|

Bab Nilai Mutlak
Matematika SMA Kelas X

|x + 1| = |2x + 3|

x + 1 = 2x + 3
x - 2x = 3 - 1
-x = 2
x = -2

x + 1 = - 2x + 3
x + 2x = 3 - 1
3x = 2
x = 2/3

HP = { -2, 2/3 }

x+1 = 2x-3
×-2x = -3+(-1)
-x = -4
x = 4