(|7x+4|)/8 =3

Lösung

\frac{∣ 7 x + 4 ∣}{8} = 3

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

Dezimale

x = - 4, x = 2.85714 \dots

Schritte zur Lösung

\frac{∣ 7 x + 4 ∣}{8} = 3

Multipliziere beide Seiten mit

8

∣ 7 x + 4 ∣ = 24

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

7 x + 4 = - 24 or 7 x + 4 = 24

7 x + 4 = - 24 or 7 x + 4 = 24

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

∣ 2 x - 3 ∣ + 7 = 10

x + \frac{1}{2} = 2

∣ - 2 x - 1 ∣ = 11

∣ x - 1 ∣ = x

- 2 ∣ x - 7 ∣ = - 4