tentukan himpunan |8-5×|=3

Bab : Nilai Mutlak
Kelas : X SMA

I8 - 5xI = 3
8 - 5x = 3 atau -3

Jika +3
8 - 5x = 3
-5x = 3 - 8
-5x = -5
x = 1

Jika -3
8 - 5x = -3
-5x = -3 - 8
-5x = -11
x = -11/-5
x = 11/5

Hp = { 1 , 11/5 }

Bab Nilai Mutlak
Matematika SMA Kelas X

|8 - 5x| = 3

(8 - 5x)² = 3²
(8 - 5x)² - 3² = 0
(8 - 5x + 3) (8 - 5x - 3) = 0
(8 - 5x) (5 - 5x) = 0
11 - 5x = 0    atau      5 - 5x = 0
5x = 11                      5x = 5
x = 11/5                     x = 1

HP = {1, 11/5}