4|x-5|=24

Lösung

4 ∣ x - 5 ∣ = 24

x = - 1 or x = 11

Schritte zur Lösung

4 ∣ x - 5 ∣ = 24

Teile beide Seiten durch

4

∣ x - 5 ∣ = 6

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x - 5 = - 6 or x - 5 = 6

x - 5 = - 6 or x - 5 = 6

x = - 1 or x = 11

- ∣ b + 6 ∣ = ∣ 3 b - 2 ∣

x^{2} - 2 ∣ x ∣ - 1 = 0

∣ x + 1 ∣ = (x - 41)^{2}

∣ 2 x + 5 ∣ = 5

∣ y + 4 ∣ = 8