nilai mutlak 1) |5x-2|=12 2) |2x+1|=x-3

Mapel : Matematika
Kelas : X SMA
Bab : Mutlak

Pembahasan :
Cara 1

|5x - 2| = 12
(5x - 2)² = 12²
(5x - 2)² - 12² = 0
(5x + 10)(5x - 14) = 0
x = -2
x = 14/5

Hp : {-2 , 14/5}

Cara 2

|5x - 2| = 12

5x - 2 = 12
5x = 14
x = 14/5

5x - 2 = -12
5x = -10
x = -2

Hp : {-2 , 14/5}

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Cara 1

|2x + 1| = x - 3
(2x + 1)² = (x - 3)²
(2x + 1)² - (x - 3)² = 0
(3x - 2)(x + 4) = 0
x = 2/3
x = -4

Hp : {-4 , 2/3}

Cara 2

|2x + 1| = x - 3

2x + 1 = x - 3
2x - x = -3 - 1
x = -4

2x + 1 = -x + 3
2x + x = 3 - 1
3x = 2
x = 2/3

Hp : {-4 , 2/3}