Penyelesaian dari persamaan |2per3×-5|-6=1

Materi : Nilai Mutlak
Bahasan : Persamaan Nilai Mutlak
Jawaban : x = - 3 atau x = 18

Langkah - langkah :
|f(x)| = a, ⇒ f(x) = a atau f(x) = - a
|(2/3)x - 5| - 6 = 1
|(2/3)x - 5| = 1 + 6
|(2/3)x - 5| = 7

⇒ (2/3)x - 5 = 7
(2/3)x = 7 + 5
(2/3)x = 12
x = 12 ÷ 2/3
x = 12 × 3/2
x = 36/2
x = 18

⇒ (2/3)x - 5 = - 7
(2/3)x = - 7 + 5
(2/3)x = - 2
x = - 2 ÷ 2/3
x = - 2 × 3/2
x = - 6/2
x = - 3