tentukan akar dari setiap persamaan nilai mutlak 5 |2x-1|+4=11

Bab Nilai Mutlak
Matematika SMA Kelas X

5 |2x - 1| + 4 = 11
5 |2x - 1| = 11 - 4
|2x - 1| = 7/5

2x - 1 = 7/5
2x = 7/5 + 1
x = 12/5 : 2
x = 6/5

2x - 1 = -7/5
2x = -7/5 + 1
x = -2/5 : 2
x = -1/5

HP = {-1/5, 6/5}

Matematika Wajib
Persamaan Mutlak X SMA

Pembahasan :
5|2x - 1| + 4 = 11
5|2x - 1| = 7
|2x - 1| = 7/5
(2x - 1)² = (7/5)²
(2x - 1)² - (7/5)² = 0
(2x - 1 + 7/5)(2x - 1 - 7/5) = 0
(2x + 2/5)(2x - 12/5) = 0
x = -1/5
x = -6/5

Hp : {-6/5 , -1/5}