penyelesaian dari|x-2|=6 berapa jawabannya apakah A. (4,8) B. (-8,4)

Materi : Persamaan Mutlak

Pembahasan :
|x - 2| = 6
(x - 2)² = 6²
(x - 2)² - 6² = 0
(x - 2 + 6)(x - 2 - 6) = 0
(x + 4)(x - 8) = 0
x = -4
x = 8

Hp : {-4 , 8}

positif => |x-2| = 6
=> x-2 =6
=> x = 6+2
=> x= 8
negatif => |x-2| = 6
=> -(x-2) = 6
=> -x + 2 = 6
=> -x = 6-2
=> -x = 4
=> x = -4