5|2x-3|=5

Lösung

5 ∣ 2 x - 3 ∣ = 5

x = 1 or x = 2

Schritte zur Lösung

5 ∣ 2 x - 3 ∣ = 5

Teile beide Seiten durch

5

∣ 2 x - 3 ∣ = 1

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

2 x - 3 = - 1 or 2 x - 3 = 1

2 x - 3 = - 1 or 2 x - 3 = 1

x = 1 or x = 2

- 2 ∣ x + 2 ∣ + 19 = 7

- ∣ 4 + x ∣ = - 10

10 = ∣ 3 x - 5 ∣

∣ 3 x - 5 ∣ - 4 = 0

2 ∣ x - 2 ∣ - 3 = 9