2|x-2|=6

Lösung

2 ∣ x - 2 ∣ = 6

x = - 1 or x = 5

Schritte zur Lösung

2 ∣ x - 2 ∣ = 6

Teile beide Seiten durch

2

∣ x - 2 ∣ = 3

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

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

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

x = - 1 or x = 5

- 2 ∣ 2 x - 3 ∣ + 5 = - 9

- \frac{5 x}{4} = 1

5 - 8 ∣ 9 + 3 x ∣ = - 43

∣ x - 2 ∣ = 4 x + 10

∣ 1 - 3 c ∣ = 20