3|7x-7|=9

Lösung

3 ∣ 7 x - 7 ∣ = 9

x = \frac{4}{7} or x = \frac{10}{7}

Dezimale

x = 0.57142 \dots, x = 1.42857 \dots

Schritte zur Lösung

3 ∣ 7 x - 7 ∣ = 9

Teile beide Seiten durch

3

∣ 7 x - 7 ∣ = 3

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

7 x - 7 = - 3 or 7 x - 7 = 3

7 x - 7 = - 3 or 7 x - 7 = 3

x = \frac{4}{7} or x = \frac{10}{7}

1 = ∣ v + 3 ∣

∣ x + 1 ∣ - (3 x - 2) = 0

4 ∣ x + 8 ∣ - 5 = 3

∣ a + 2 ∣ = 3

∣ x + 1 ∣ + 9 = 2