|x^2-2sqrt(2)x+2|=18

Lösung

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

x = - 22 or x = 42

Dezimale

x = - 2.82842 \dots, x = 5.65685 \dots

Schritte zur Lösung

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

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

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

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

keine L \overset{o}{¨} sung or (x = - 22 or x = 42)

x = - 22 or x = 42

∣ 5 x + 1 ∣ = 5

2 ∣ x - 1 ∣ - 8 = 6

so l v e f or u, ∣ 2 u + 14 ∣ = - 6

- ∣ p + 1 ∣ + 3 = - 1

∣ x - 1 ∣ - ∣ 4 - x ∣ = 0