(|2x-1|)/3 =5

Lösung

\frac{∣ 2 x - 1 ∣}{3} = 5

x = - 7 or x = 8

Schritte zur Lösung

\frac{∣ 2 x - 1 ∣}{3} = 5

Multipliziere beide Seiten mit

3

∣ 2 x - 1 ∣ = 15

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

2 x - 1 = - 15 or 2 x - 1 = 15

2 x - 1 = - 15 or 2 x - 1 = 15

x = - 7 or x = 8

∣ x + 2 ∣ + 8 = 7

∣ x + 3 ∣ = - 3 x + 7

∣ 3 x + 1 ∣ = 14

∣ 3 x + 1 ∣ = 11

∣ 3 x + 1 ∣ = 13