|x^2-2x-1|=1

Lösung

x^{2} - 2 x - 1 = 1

x = 1 - 3 or x = 0 or x = 2 or x = 1 + 3

Dezimale

x = - 0.73205 \dots, x = 0, x = 2, x = 2.73205 \dots

Schritte zur Lösung

x^{2} - 2 x - 1 = 1

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x^{2} - 2 x - 1 = - 1 or x^{2} - 2 x - 1 = 1

x^{2} - 2 x - 1 = - 1 or x^{2} - 2 x - 1 = 1

(x = 0 or x = 2) or (x = 1 - 3 or x = 1 + 3)

x = 1 - 3 or x = 0 or x = 2 or x = 1 + 3

4 - 4 ∣ 6 x + 6 ∣ = - 116

∣ y + 4 ∣ - 1 = 4

∣ 2 x + 8 ∣ + 4 = 8

∣ 7 + 3 x ∣ = 11 - x

7 = ∣ v ∣ - 2