|x+sqrt(2)|=sqrt(3)

Lösung

x + 2 = 3

x = - 3 - 2 or x = 3 - 2

Dezimale

x = - 3.14626 \dots, x = 0.31783 \dots

Schritte zur Lösung

x + 2 = 3

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x + 2 = - 3 or x + 2 = 3

x + 2 = - 3 or x + 2 = 3

x = - 3 - 2 or x = 3 - 2

∣ x - 1 ∣ + ∣ x - 2 ∣ = 5

∣ x - 1 ∣ + ∣ 4 - x ∣ = 6

x^{2} - 5 ∣ x - 1 ∣ - 1 = 0

4 - 2 ∣ x - 1 ∣ = 7

∣ 3 x - 9 ∣ = 7 x - 29