jika (5x -6) -4 =10 adalah....... A)4,13/5 B)4,-1 3/5. C)-1 3/5 D)2 E)4

Mapel : Matematika
Kelas : X SMA
Materi : Persamaan Nilai Mutlak

Pembahasan :
Cara 1

|5x - 6| - 4 = 10
|5x - 6| = 14

5x - 6 = 14
5x = 20
x = 4

5x - 6 = -14
5x = -8
x = -8/5

Hp : {-8/5 , 4}

Jawaban : B
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Cara 2

|5x - 6| - 4 = 10
|5x - 6| = 14
(5x - 6)² = 14²
(5x - 6)² - 14² = 0
(5x - 6 - 14)(5x - 6 + 14) = 0
(5x - 20)(5x + 8) = 0
x = 4
x = -8/5

Hp : {-8/5 , 4}

Jawaban : B