|x^2-100|=99

Lösung

x^{2} - 100 = 99

x = - 199 or x = - 1 or x = 1 or x = 199

Dezimale

x = - 14.10673 \dots, x = - 1, x = 1, x = 14.10673 \dots

Schritte zur Lösung

x^{2} - 100 = 99

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x^{2} - 100 = - 99 or x^{2} - 100 = 99

x^{2} - 100 = - 99 or x^{2} - 100 = 99

(x = - 1 or x = 1) or (x = - 199 or x = 199)

x = - 199 or x = - 1 or x = 1 or x = 199

x^{2} - 22 x + 2 = 18

∣ 5 x + 1 ∣ = 5

2 ∣ x - 1 ∣ - 8 = 6

so l v e f or u, ∣ 2 u + 14 ∣ = - 6

- ∣ p + 1 ∣ + 3 = - 1