3|11x-4|=3

Lösung

3 ∣ 11 x - 4 ∣ = 3

x = \frac{3}{11} or x = \frac{5}{11}

Dezimale

x = 0.27272 \dots, x = 0.45454 \dots

Schritte zur Lösung

3 ∣ 11 x - 4 ∣ = 3

Teile beide Seiten durch

3

∣ 11 x - 4 ∣ = 1

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

11 x - 4 = - 1 or 11 x - 4 = 1

11 x - 4 = - 1 or 11 x - 4 = 1

x = \frac{3}{11} or x = \frac{5}{11}

a ∣ x ∣ = x - 3

∣ 3 y + 5 ∣ - 3 = 0

2 ∣ x + 7 ∣ = 5

∣ 1 + x ∣ = 1

5 = ∣ 5 - 3 x ∣