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Beliebt Algebra >

x^3-3x^2-2x+6=0

Lösung

x^{3} - 3 x^{2} - 2 x + 6 = 0

Lösung

x = 3, x = - 2, x = 2

+1

Dezimale

x = 3, x = - 1.41421 \dots, x = 1.41421 \dots

Schritte zur Lösung

x^{3} - 3 x^{2} - 2 x + 6 = 0

Faktorisiere

x^{3} - 3 x^{2} - 2 x + 6 : (x - 3) (x + 2) (x - 2)

(x - 3) (x + 2) (x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or x + 2 = 0 or x - 2 = 0

Löse

x - 3 = 0 : x = 3

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = 3, x = - 2, x = 2

Graph

Beliebte Beispiele

0 = x^{4} - 25

x^3+3x^2-6x-18=0

x^{3} + 3 x^{2} - 6 x - 18 = 0

8 y^{3} - 27 = 0

x^{3} - 8 x^{2} - x + 8 = 0

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