Question

tentukan x1 dan x2 dari nilai mutlak berikut iniii.

|4x-1| = 2
|4x-3| = 1
|3x-4| = 2
4|2x-1|-6=2

bantuin he.

Answer 1

Verified answer

Mapel : Matematika
Kelas : X SMA
Materi : Persamaan Trigonometri

Pembahasan :
|4x - 1| = 2
(4x - 1)² = 2²
(4x - 1)² - 2² = 0
(4x - 1 + 2)(4x - 1 - 2) = 0
(4x + 1)(4x - 3) = 0
x = -1/4
x = 3/4

Hp : {-1/4 , 3/4}

————————————————
|4x - 3| = 1

4x - 3 = 1
4x = 4
x = 1

4x - 3 = -1
4x = 2
x = 1/2

Hp : {1/2 , 1}

————————————————
|3x - 4| = 2

3x - 4 = 2
3x = 6
x = 2

3x - 4 = -2
3x = 2
x = 2/3

Hp : {2/3 , 2}

————————————————
4|2x - 1| - 6 = 2
4|2x - 1| = 8
|2x - 1| = 2

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

2x - 1 = -2
2x = -1
x = -1/2

Hp : {-1/2 , 3/2}