Question

Hasil dari | x-1|²-4|x-1|-12 >0

Answer 1

|x-1|²-4|x-1|-12 >0
(x-1)² - 4x + 4 - 12 > 0
(x-1)(x-1) - 4x + 8 > 0
x²-2x + 1 - 4x + 8 > 0
x² - 2x - 4x + 1 + 8 > 0
x² - 6x + 9 > 0
(x-3)(x-3) = 0
x1 = 3
x2 = 3

HP : {x > 3}