|x^2-7|=2

Lösung

x^{2} - 7 = 2

x = - 3 or x = - 5 or x = 5 or x = 3

Dezimale

x = - 3, x = - 2.23606 \dots, x = 2.23606 \dots, x = 3

Schritte zur Lösung

x^{2} - 7 = 2

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x^{2} - 7 = - 2 or x^{2} - 7 = 2

x^{2} - 7 = - 2 or x^{2} - 7 = 2

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

x = - 3 or x = - 5 or x = 5 or x = 3

∣ 3 x + 1 ∣ = - 5

∣ x + 6 ∣ + 6 = 3 x

∣ 3 x - 2 ∣ + 5 = 9

∣ 8 x - 1 ∣ = 6 x

∣ 8 - 4 x ∣ = 16