Metode mudarat dari |4x-8|=2

Bab Nilai Mutlak
Matematika SMA Kelas X

|4x - 8| = 2

(4x - 8)² = 2²
(4x - 8)² - 2² = 0
(4x - 8 + 2) (4x - 8 - 2) = 0
(4x - 6) (4x - 10) = 0
4x - 6 = 0    atau     4x - 10 = 0
4x = 6                     4x = 10
x = 6/4                    x = 5/2
x = 3/2

HP = { 3/2, 5/2 }

Materi : Persamaan Mutlak

Pembahasan :
|4x - 8| = 2
2|2x - 4| = 2
|2x - 4| = 1
(2x - 4)² = 1²
(2x - 4)² - 1² = 0
(2x - 4 + 1)(2x - 4 - 1) = 0
(2x - 3)(2x - 5) = 0
x = 3/2
x = 5/2

Hp : {3/2 , 5/2}