2|x-4|=6

Lösung

2 ∣ x - 4 ∣ = 6

x = 1 or x = 7

Schritte zur Lösung

2 ∣ x - 4 ∣ = 6

Teile beide Seiten durch

2

∣ x - 4 ∣ = 3

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x - 4 = - 3 or x - 4 = 3

x - 4 = - 3 or x - 4 = 3

x = 1 or x = 7

∣ 8 + 5 x ∣ = 14 - x

3 x - 5 + 5 = 38

∣ 10 + 5 x ∣ = 15

- 5 = - 5 ∣ b ∣

- 4 ∣ 3 + 5 x ∣ - 10 = 78