himpunan penyelesaian dari persamaan |5x-8|-|13-2x|=0

Bab Nilai Mutlak
Matematika SMA Kelas X

|5x - 8| - |13 - 2x| = 0
|5x - 8| = |13 - 2x|

(5x - 8)² - (13 - 2x)² = 0
(5x - 8 + 13 - 2x) (5x - 8 - 13 + 2x) = 0
(3x + 5) (7x - 20) = 0
3x + 5 = 0
3x = -5
x = -5/3

7x - 20 = 0
7x = 20
x - 20/7

HP = { -5/3, 20/7 }