3|3(x+5)(x-1)|+5=32

Lösung

3 ∣ 3 (x + 5) (x - 1) ∣ + 5 = 32

x = - 2 (1 + 3) or x = - 2 - 6 or x = - 2 + 6 or x = 2 (3 - 1)

Dezimale

x = - 5.46410 \dots, x = - 4.44948 \dots, x = 0.44948 \dots, x = 1.46410 \dots

Schritte zur Lösung

3 ∣ 3 (x + 5) (x - 1) ∣ + 5 = 32

Verschiebe

5

auf die rechte Seite

3 ∣ 3 (x + 5) (x - 1) ∣ = 27

Teile beide Seiten durch

3

∣ 3 (x + 5) (x - 1) ∣ = 9

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

3 (x + 5) (x - 1) = - 9 or 3 (x + 5) (x - 1) = 9

3 (x + 5) (x - 1) = - 9 or 3 (x + 5) (x - 1) = 9

(x = - 2 - 6 or x = - 2 + 6) or (x = - 2 (1 + 3) or x = 2 (3 - 1))

x = - 2 (1 + 3) or x = - 2 - 6 or x = - 2 + 6 or x = 2 (3 - 1)

- 5 ∣ 6 - h ∣ + 7 = - 13

- ∣ - x ∣ = - 9

2 ∣ x - 25 ∣ + 4 = 12

- 3 = - ∣ x - 2 ∣ - 1

7 ∣ m ∣ = 0