7|x-2|=10

Lösung

7 ∣ x - 2 ∣ = 10

x = \frac{4}{7} or x = \frac{24}{7}

Dezimale

x = 0.57142 \dots, x = 3.42857 \dots

Schritte zur Lösung

7 ∣ x - 2 ∣ = 10

Teile beide Seiten durch

7

∣ x - 2 ∣ = \frac{10}{7}

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x - 2 = - \frac{10}{7} or x - 2 = \frac{10}{7}

x - 2 = - \frac{10}{7} or x - 2 = \frac{10}{7}

x = \frac{4}{7} or x = \frac{24}{7}

∣ x - 5 ∣ = 5

1 + ∣ 2 + x ∣ = 9

5 - 8 ∣ 2 x ∣ = - 75

∣ x + 5 ∣ + 3 = 1

∣ n - 7 ∣ = 2