3|z+7|=12

Lösung

3 ∣ z + 7 ∣ = 12

z = - 11 or z = - 3

Schritte zur Lösung

3 ∣ z + 7 ∣ = 12

Teile beide Seiten durch

3

∣ z + 7 ∣ = 4

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

z + 7 = - 4 or z + 7 = 4

z + 7 = - 4 or z + 7 = 4

z = - 11 or z = - 3

9 ∣ 4 x + 2 ∣ + 8 = 35

∣ 4 x - 8 ∣ + 1 = 5 x

∣ 3 x + 2 ∣ = 2

5 + ∣ 9 + 3 x ∣ = 7

∣ x + 3 ∣ = - 6