3|2x-3|=27

Lösung

3 ∣ 2 x - 3 ∣ = 27

x = - 3 or x = 6

Schritte zur Lösung

3 ∣ 2 x - 3 ∣ = 27

Teile beide Seiten durch

3

∣ 2 x - 3 ∣ = 9

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

2 x - 3 = - 9 or 2 x - 3 = 9

2 x - 3 = - 9 or 2 x - 3 = 9

x = - 3 or x = 6

∣ 3 + 7 b ∣ - 8 = 51

2 ∣ x + 8 ∣ - 6 = 0

- 2 ∣ 2 x - 1 ∣ = - 6 x - 12

∣ 6 x - 3 ∣ + 2 x = x + 4

∣ x - 6 ∣ - 2 = - 5