(|2m+5|)/7 =1

Lösung

\frac{∣ 2 m + 5 ∣}{7} = 1

m = - 6 or m = 1

Schritte zur Lösung

\frac{∣ 2 m + 5 ∣}{7} = 1

Multipliziere beide Seiten mit

7

∣ 2 m + 5 ∣ = 7

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

2 m + 5 = - 7 or 2 m + 5 = 7

2 m + 5 = - 7 or 2 m + 5 = 7

m = - 6 or m = 1

∣ 3 - x ∣ = 1

2 ∣ x + 3 ∣ + 12 = 8

7 ∣ x + 1 ∣ + 2 = 3

x^{2} - ∣ 3 x + 2 ∣ + 4 = 0

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