| 2x / x -2 | = 3 tolong penyelesainan dari persamaan nilai mutlak dan caranya

| 2x / x -2 | = 3

2x / x -2 = 3
2x/(x-2) - 3 = 0
2x/(x-2) - 3(x-2)/(x-2) = 0
(2x-3x+6) / (x-2) = 0
(-x+6) / (x-2) = 0
x = 6  dan x ≠ 2

atau 

2x / x -2 = -3
2x/(x-2) + 3 = 0
2x/(x-2) + 3(x-2)/(x-2) = 0
(2x+3x-6) / (x-2) = 0
(5x-6) / (x-2) = 0
x = 6/5   dan x ≠ 2

HP  : {6/5 , 6} - {2}

NiLai MutLak

|2x / x - 2| = 3
•
2x / x - 2 = 3
Kali silang
2x = 3x - 6
3x - 2x = 6
x = 6

••
2x / x - 2 = -3
Kali silang
2x = -3x + 6
2x + 3x = 6
x = 6/5

HP = {6/5 , 6}