Cara menjawab soal |2x-1|²-6|2x-1|-7=0

Materi : Persamaan Mutlak

Pembahasan :
|2x - 1|² - 6|2x - 1| - 7 = 0
p² - 6p - 7 = 0
(p - 7)(p + 1) = 0

P = 7
|2x - 1| = 7
(2x - 1)² = 7²
(2x - 1)² - 7² = 0
(2x - 1 + 7)(2x - 1 - 7) = 0
(2x + 6)(2x - 8) = 0
x = -3
x = 4

Hp : {-3 , 4}