2|3x-6|=6

Lösung

2 ∣ 3 x - 6 ∣ = 6

x = 1 or x = 3

Schritte zur Lösung

2 ∣ 3 x - 6 ∣ = 6

Teile beide Seiten durch

2

∣ 3 x - 6 ∣ = 3

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

3 x - 6 = - 3 or 3 x - 6 = 3

3 x - 6 = - 3 or 3 x - 6 = 3

x = 1 or x = 3

∣ x ∣ = 925

∣ 8 x - 4 ∣ = 20

- 18 = 2 a - 2 ∣ 1 - 3 a ∣

3 - 7 ∣ x + 2 ∣ = - 38

∣ x - 2 ∣ + ∣ 2 x + 3 ∣ = 5