tentukan Hp dari 3|4×+5|-4=5

Bab Nilai Mutlak
Matematika SMA Kelas X

3 |4x + 5| - 4 = 5
3 |4x + 5| = 5 + 4
|4x + 5| = 9/3
|4x + 5| = 3

4x + 5 = 3
4x = 3 - 5
x = -2/4
x = -1/2

4x + 5 = -3
4x = - 3 - 5
x = -8/4
x = -2

HP = { -2, -1/2 }

Materi : Persamaan Mutlak

Pembahasan :
3|4x + 5| - 4 = 5
3|4x + 5| = 5 + 4
3|4x + 5| = 9
|4x + 5| = 3
(4x + 5)² = 3²
(4x + 5)² - 3² = 0
(4x + 5 + 3)(4x + 5 - 3) = 0
(4x + 8)(4x + 2) = 0
x = -2
x = -1/2

Hp : {-2 , -1/2}