7|x-2|=6

Lösung

7 ∣ x - 2 ∣ = 6

x = \frac{8}{7} or x = \frac{20}{7}

Dezimale

x = 1.14285 \dots, x = 2.85714 \dots

Schritte zur Lösung

7 ∣ x - 2 ∣ = 6

Teile beide Seiten durch

7

∣ x - 2 ∣ = \frac{6}{7}

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x - 2 = - \frac{6}{7} or x - 2 = \frac{6}{7}

x - 2 = - \frac{6}{7} or x - 2 = \frac{6}{7}

x = \frac{8}{7} or x = \frac{20}{7}

- ∣ 7 - x ∣ - 5 = - 12

∣ 4 x - 4 ∣ - 8 = - 3

∣ 5 x - 1 ∣ - 5 = 4

3^{x} + ∣ x ∣ = 3

4 + 3 ∣ 3 x - 7 ∣ = 28