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Beliebt Algebra >

x^3-3x^2-3x+1=0

Lösung

x^{3} - 3 x^{2} - 3 x + 1 = 0

Lösung

x = - 1, x = 2 + 3, x = 2 - 3

+1

Dezimale

x = - 1, x = 3.73205 \dots, x = 0.26794 \dots

Schritte zur Lösung

x^{3} - 3 x^{2} - 3 x + 1 = 0

Faktorisiere

x^{3} - 3 x^{2} - 3 x + 1 : (x + 1) (x^{2} - 4 x + 1)

(x + 1) (x^{2} - 4 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x^{2} - 4 x + 1 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x^{2} - 4 x + 1 = 0 : x = 2 + 3, x = 2 - 3

Die Lösungen sind

x = - 1, x = 2 + 3, x = 2 - 3

Graph

Beliebte Beispiele

x (x + 2) (x + 4) = 0

x (6 x^{2} - x - 2) = 0

6(x+2)^4-11(x+2)^2=-4

6 (x + 2)^{4} - 11 (x + 2)^{2} = - 4

x^{2} (x - 5) + 5 - x = 0

x^4+x^3-6x^2+7x+49=0

x^{4} + x^{3} - 6 x^{2} + 7 x + 49 = 0