7|x-2|=8

Lösung

7 ∣ x - 2 ∣ = 8

x = \frac{6}{7} or x = \frac{22}{7}

Dezimale

x = 0.85714 \dots, x = 3.14285 \dots

Schritte zur Lösung

7 ∣ x - 2 ∣ = 8

Teile beide Seiten durch

7

∣ x - 2 ∣ = \frac{8}{7}

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x - 2 = - \frac{8}{7} or x - 2 = \frac{8}{7}

x - 2 = - \frac{8}{7} or x - 2 = \frac{8}{7}

x = \frac{6}{7} or x = \frac{22}{7}

∣ x - 2 ∣ = 6 x + 8

∣ x - 7 ∣ = 3 x + 2

- 2 ∣ x + 1 ∣ = 4

∣ 4 x + 7 ∣ - 4 = 16

\frac{n}{3} = 3