7|x-4|=20

Lösung

7 ∣ x - 4 ∣ = 20

x = \frac{8}{7} or x = \frac{48}{7}

Dezimale

x = 1.14285 \dots, x = 6.85714 \dots

Schritte zur Lösung

7 ∣ x - 4 ∣ = 20

Teile beide Seiten durch

7

∣ x - 4 ∣ = \frac{20}{7}

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x - 4 = - \frac{20}{7} or x - 4 = \frac{20}{7}

x - 4 = - \frac{20}{7} or x - 4 = \frac{20}{7}

x = \frac{8}{7} or x = \frac{48}{7}

∣ x - 5 ∣ = x - 5

∣ x ∣ = - 16

2 ∣ 2 x + 1 ∣ - 1 = 9

∣ 5 w + 3 ∣ = - 4

∣ x + 9 ∣ = 8