3|x^2+x-2|=0

Lösung

3 x^{2} + x - 2 = 0

x = - 2 or x = 1

Schritte zur Lösung

3 x^{2} + x - 2 = 0

Teile beide Seiten durch

3

x^{2} + x - 2 = 0

Wende Absoluteregel an: Wenn

∣ u ∣ = 0

dann

u = 0

x^{2} + x - 2 = 0

x^{2} + x - 2 = 0 : x = 1, x = - 2

x = - 2 or x = 1

4 ∣ 3 x - 6 ∣ + 6 = 2

∣ x - 7 + 6 x ∣ - 6 = 22

∣ α + (α - 1) + (α + 1) ∣ = 2

4 ∣ 3 x - 6 ∣ + 3 = 15

∣ 2 x + 2 ∣ = 13