| 1/4 x-3|+1=11

Lösung

\frac{1}{4} x - 3 + 1 = 11

x = - 28 or x = 52

Schritte zur Lösung

\frac{1}{4} x - 3 + 1 = 11

Verschiebe

1

auf die rechte Seite

\frac{1}{4} x - 3 = 10

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

\frac{1}{4} x - 3 = - 10 or \frac{1}{4} x - 3 = 10

\frac{1}{4} x - 3 = - 10 or \frac{1}{4} x - 3 = 10

x = - 28 or x = 52

∣ 3 x - 12 ∣ = 6

0 = \frac{2}{3} - x

\frac{1}{4} - \frac{3}{2} x = 1

∣ 7 x - 2 ∣ = - 7

∣ b ∣ = 5