7|x-2|=4

Lösung

7 ∣ x - 2 ∣ = 4

x = \frac{10}{7} or x = \frac{18}{7}

Dezimale

x = 1.42857 \dots, x = 2.57142 \dots

Schritte zur Lösung

7 ∣ x - 2 ∣ = 4

Teile beide Seiten durch

7

∣ x - 2 ∣ = \frac{4}{7}

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x - 2 = - \frac{4}{7} or x - 2 = \frac{4}{7}

x - 2 = - \frac{4}{7} or x - 2 = \frac{4}{7}

x = \frac{10}{7} or x = \frac{18}{7}

∣ x + 2 ∣ = 2 - x

∣ 5 x + 8 ∣ - 8 = 3 x

∣ - 10 - 2 x ∣ = 14

so l v e f or x, 2 ∣ x ∣ + y = 0

2 ∣ 3 x - 5 ∣ = 14