tentukan nilai |6x-4|=|2x+3| adalah

|6x-4| = |2x+3|
6x-4 = 2x+3
6x-2x = 3+4
4x = 7
x = 7/4

|6x-4| = |2x+3|
6x-4 = -2x+3
6x+2x = 3+4
8x = 7
x = 7/8

Kelas 10 Matematika
Bab Nilai Mutlak

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

4x - 7 = 0
4x = 7
x = 7/4

{ 1/8, 7/4 }