3|4x+6|=12

Lösung

3 ∣ 4 x + 6 ∣ = 12

x = - \frac{5}{2} or x = - \frac{1}{2}

Dezimale

x = - 2.5, x = - 0.5

Schritte zur Lösung

3 ∣ 4 x + 6 ∣ = 12

Teile beide Seiten durch

3

∣ 4 x + 6 ∣ = 4

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

4 x + 6 = - 4 or 4 x + 6 = 4

4 x + 6 = - 4 or 4 x + 6 = 4

x = - \frac{5}{2} or x = - \frac{1}{2}

∣ 4 x + 5 ∣ = x + 2

∣ 6 x + 5 ∣ - 15 = 0

∣ 5 x - 15 ∣ = 35

- 9 = - 3 ∣ 2 x - 11 ∣

5 ∣ 1 - 4 x ∣ - 12 = 3