5| 1/2 r+3|=5

Lösung

5 \frac{1}{2} r + 3 = 5

r = - 8 or r = - 4

Schritte zur Lösung

5 \frac{1}{2} r + 3 = 5

Teile beide Seiten durch

5

\frac{1}{2} r + 3 = 1

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

\frac{1}{2} r + 3 = - 1 or \frac{1}{2} r + 3 = 1

\frac{1}{2} r + 3 = - 1 or \frac{1}{2} r + 3 = 1

r = - 8 or r = - 4

6 ∣ - 4 x - 5 ∣ - 12 = 30

2 ∣ 2 x - 7 ∣ + 11 = 25

∣ x - 1 ∣ = 2 x + 4

∣ 5 x + 4 ∣ = 3 x - 2

∣ 3 x + 1 ∣ + 6 = 4