Question

Nilai mutlak

|2x+1|-2=1

|x+7|=|3-x|

|3x-1|=|5+x|

Answer 1

Verified answer

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

Pembahsan :
|2x + 1| - 2 = 1
|2x + 1| = 3

2x + 1 = 3
2x = 2
x = 1

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

Hp : {-2 , 1}

————————————————
|x + 7| = |3 - x|
(x + 7)² = (3 - x)²
(x + 7)² - (3 - x)² = 0
(x + 7 + 3 - x)(x + 7 - 3 + x) = 0
10(2x + 4) = 0
20x + 40 = 0
20x = -40
x = -2

Hp : {-2}

————————————————
|3x - 1| = |5 + x|
(3x - 1)² = (5 + x)²
(3x - 1)² - (5 + x)² = 0
(3x - 1 + 5 + x)(3x - 1 - 5 - x) = 0
(4x + 4)(2x - 6) = 0
x = -1
x = 3

Hp : {-1 , 3}