|2x-1|kuadrad-6|2x-1|-7=0

Bab Nilai Mutlak
Matematika SMA Kelas X

|2x - 1|² - 6|2x - 1| - 7 = 0

|2x - 1| = a

a² - 6a - 7 = 0
(a + 1) (a - 7) = 0
a + 1 = 0
a = -1

|2x - 1| = -1 (tidak memenuhi)
hasil nilai mutlak tidak pernah bilangan negatif

a - 7 = 0
a = 7

|2x - 1| = 7

2x - 1 = 7
2x = 7 + 1
x = 8/2
x = 4

2x - 1 = - 7
2x = -7 + 1
x = -6/2
x = -3

HP = { -3, 4 }