Himpunan dari |x-3|=|x+4|

Materi : Persamaan Mutlak

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

Hp : {-1/2}

| x - 3 | = | x + 4 |

x - 3 = x + 4
tidak ada yg memenuhi

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

Hp = {-1/2}