| 1/4-3/2 x|=1

Lösung

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

x = - \frac{1}{2} or x = \frac{5}{6}

Dezimale

x = - 0.5, x = 0.83333 \dots

Schritte zur Lösung

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

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

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

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

x = - \frac{1}{2} or x = \frac{5}{6}

∣ 7 x - 2 ∣ = - 7

∣ b ∣ = 5

so l v e f or x, 2 ∣ 3 x + 1 ∣ + 6 = 4

\frac{1}{3} x = 2

2 ∣ x - 5 ∣ = 10