5*|3x-1|=20

Lösung

5 \cdot ∣ 3 x - 1 ∣ = 20

x = - 1 or x = \frac{5}{3}

Dezimale

x = - 1, x = 1.66666 \dots

Schritte zur Lösung

5 ∣ 3 x - 1 ∣ = 20

Teile beide Seiten durch

5

∣ 3 x - 1 ∣ = 4

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

3 x - 1 = - 4 or 3 x - 1 = 4

3 x - 1 = - 4 or 3 x - 1 = 4

x = - 1 or x = \frac{5}{3}

2 ∣ 3 w ∣ = 12

∣ 2 x - 1 ∣ = x

∣ x - 9 ∣ = x^{2} + 3

- 2 ∣ x + 5 ∣ = 8

∣ - 6 a + 4 ∣ = 14