4|7w+14|=28

Lösung

4 ∣ 7 w + 14 ∣ = 28

w = - 3 or w = - 1

Schritte zur Lösung

4 ∣ 7 w + 14 ∣ = 28

Teile beide Seiten durch

4

∣ 7 w + 14 ∣ = 7

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

7 w + 14 = - 7 or 7 w + 14 = 7

7 w + 14 = - 7 or 7 w + 14 = 7

w = - 3 or w = - 1

∣ x + 3 ∣ + 12 = 5

∣ x + 6 ∣ = 2 x + 6

8 + 2 ∣ 5 x - 10 ∣ = 15

∣ 5 - 7 x ∣ = 9

4 = ∣ v - 3 ∣