Question

Himpunan penyelesaian dari

|4x+7| = |2x-1| adalah

Answer 1

Verified answer

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

Maaf Kalau Salah

Answer 2

Verified answer

Nilai MutLak

a² - b² = (a + b)(a - b)

Misal :
a = 4x + 7
b = 2x - 1

|4x + 7| = |2x - 1|
(4x + 7)² - (2x - 1)² = 0
(6x + 6)(2x + 8) = 0
x = -1 atau x = -4

HP = {-1 , -4}