3|3(x+4)(x-2)|-4=47

Lösung

3 ∣ 3 (x + 4) (x - 2) ∣ - 4 = 47

x = - \frac{3 + 2 33}{3} or x = - \frac{3 + 30}{3} or x = \frac{- 3 + 30}{3} or x = \frac{- 3 + 2 33}{3}

Dezimale

x = - 4.82970 \dots, x = - 2.82574 \dots, x = 0.82574 \dots, x = 2.82970 \dots

Schritte zur Lösung

3 ∣ 3 (x + 4) (x - 2) ∣ - 4 = 47

Verschiebe

4

auf die rechte Seite

3 ∣ 3 (x + 4) (x - 2) ∣ = 51

Teile beide Seiten durch

3

∣ 3 (x + 4) (x - 2) ∣ = 17

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

3 (x + 4) (x - 2) = - 17 or 3 (x + 4) (x - 2) = 17

3 (x + 4) (x - 2) = - 17 or 3 (x + 4) (x - 2) = 17

(x = - \frac{3 + 30}{3} or x = \frac{- 3 + 30}{3}) or (x = - \frac{3 + 2 33}{3} or x = \frac{- 3 + 2 33}{3})

x = - \frac{3 + 2 33}{3} or x = - \frac{3 + 30}{3} or x = \frac{- 3 + 30}{3} or x = \frac{- 3 + 2 33}{3}

∣ 2 x - 1 ∣ = 3 x + 11

4 ∣ x + 5 ∣ + 8 = 24

∣ 3 - 2 x ∣ = 14

- ∣ h + 7 ∣ = - 12

∣ t - 4 ∣ = 0