-|3(x+5)(x-1)|-1=-6

Lösung

- ∣ 3 (x + 5) (x - 1) ∣ - 1 = - 6

x = - \frac{2 ( 3 + 2 6 )}{3} or x = - \frac{6 + 66}{3} or x = \frac{- 6 + 66}{3} or x = \frac{2 ( 2 6 - 3 )}{3}

Dezimale

x = - 5.26598 \dots, x = - 4.70801 \dots, x = 0.70801 \dots, x = 1.26598 \dots

Schritte zur Lösung

- ∣ 3 (x + 5) (x - 1) ∣ - 1 = - 6

Verschiebe

1

auf die rechte Seite

- ∣ 3 (x + 5) (x - 1) ∣ = - 5

Teile beide Seiten durch

- 1

∣ 3 (x + 5) (x - 1) ∣ = 5

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

3 (x + 5) (x - 1) = - 5 or 3 (x + 5) (x - 1) = 5

3 (x + 5) (x - 1) = - 5 or 3 (x + 5) (x - 1) = 5

(x = - \frac{6 + 66}{3} or x = \frac{- 6 + 66}{3}) or (x = - \frac{2 ( 3 + 2 6 )}{3} or x = \frac{2 ( 2 6 - 3 )}{3})

x = - \frac{2 ( 3 + 2 6 )}{3} or x = - \frac{6 + 66}{3} or x = \frac{- 6 + 66}{3} or x = \frac{2 ( 2 6 - 3 )}{3}

3 ∣ 2 x - 5 ∣ = 12

∣ p ∣ - 9 = 11

3 ∣ 2 v + 2 ∣ - 2 = - 2

1 = ∣ d - 40 ∣

so l v e f or u, ∣ u + v ∣ = 2