|(x/2)+3|=(14/9)

Lösung

(\frac{x}{2}) + 3 = (\frac{14}{9})

x = - \frac{82}{9} or x = - \frac{26}{9}

Dezimale

x = - 9.11111 \dots, x = - 2.88888 \dots

Schritte zur Lösung

\frac{x}{2} + 3 = \frac{14}{9}

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

\frac{x}{2} + 3 = - \frac{14}{9} or \frac{x}{2} + 3 = \frac{14}{9}

\frac{x}{2} + 3 = - \frac{14}{9} or \frac{x}{2} + 3 = \frac{14}{9}

x = - \frac{82}{9} or x = - \frac{26}{9}

so l v e f or a, ∣ 4 a - 5 b ∣ - ∣ 2 a - b ∣ = 0

3 x - x^{3} = x

∣ 5 x + 3 ∣ + 1 = 8

∣ 2 x - 5 ∣ = ∣ 3 x + 1 ∣

∣ x + 3 ∣ = x^{2} + 2 x - 3