3|x-4|=7

Lösung

3 ∣ x - 4 ∣ = 7

x = \frac{5}{3} or x = \frac{19}{3}

Dezimale

x = 1.66666 \dots, x = 6.33333 \dots

Schritte zur Lösung

3 ∣ x - 4 ∣ = 7

Teile beide Seiten durch

3

∣ x - 4 ∣ = \frac{7}{3}

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x - 4 = - \frac{7}{3} or x - 4 = \frac{7}{3}

x - 4 = - \frac{7}{3} or x - 4 = \frac{7}{3}

x = \frac{5}{3} or x = \frac{19}{3}

3 ∣ x - 4 ∣ = 9

6 ∣ y ∣ = 42

- ∣ 3 + x ∣ = 2

- ∣ 3 + x ∣ = 0

- ∣ 3 + x ∣ = 3