Himpunan penyelesaian dari persamaan |10x + 5| = 7 adalah...

Matematika Wajib
Persamaan Mutlak X SMA

Pembahasan :
Cara 1

|10x + 5| = 7
(10x + 5)² = 7²
(10x + 5)² - 7² = 0
(10x + 5 + 7)(10x + 5 - 7) = 0
(10x + 12)(10x - 2) = 0
x = -6/5
x = 1/5

Hp : {-6/5 , 1/5}

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Cara 2

|10x + 5| = 7

10x + 5 = 7
10x = 7 - 5
10x = 2
x = 2/10
x = 1/5

10x + 5 = -7
10x = -7 - 5
10x = -12
x = -12/10
x = -6/5

Hp : {-6/5 , 1/5}