tentukan himpunan penyelesaian! 1. |8-5x|= 3

Matematika Wajib
Persamaan Mutlak X SMA

Pembahasan :
Cara 1

|8 - 5x| = 3

8 - 5x = 3
5x = 8 - 3
5x = 5
x = 1

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

Hp : {1 , 11/5}

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Cara 2

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

Hp : {1 , 11/5}