-3|2x-1|=-15

Lösung

- 3 ∣ 2 x - 1 ∣ = - 15

x = - 2 or x = 3

Schritte zur Lösung

- 3 ∣ 2 x - 1 ∣ = - 15

Teile beide Seiten durch

- 3

∣ 2 x - 1 ∣ = 5

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

2 x - 1 = - 5 or 2 x - 1 = 5

2 x - 1 = - 5 or 2 x - 1 = 5

x = - 2 or x = 3

4 x = 2 ∣ 6 x - 2 ∣

2 ∣ 4 x - 3 ∣ - 3 = - 3

∣ 6 x + 1 ∣ + 5 = 17

∣ m - 2 ∣ = 2

∣ 3 x + 2 ∣ = 8