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Beliebt Algebra >

x^3-x^2-4x-6=0

Lösung

x^{3} - x^{2} - 4 x - 6 = 0

Lösung

x = 3, x = - 1 + i, x = - 1 - i

Schritte zur Lösung

x^{3} - x^{2} - 4 x - 6 = 0

Faktorisiere

x^{3} - x^{2} - 4 x - 6 : (x - 3) (x^{2} + 2 x + 2)

(x - 3) (x^{2} + 2 x + 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

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

Die Lösungen sind

x = 3, x = - 1 + i, x = - 1 - i

Graph

Beliebte Beispiele

25 x^{4} = 74 x^{2} - 49

x^4-3x^3+6x^2-12x+8=0

x^{4} - 3 x^{3} + 6 x^{2} - 12 x + 8 = 0

x^5-2x^4-24x^3=0

x^{5} - 2 x^{4} - 24 x^{3} = 0

x^{3} - 2 x - 2 = 1.5

2x^3+3x^2+8x+12=0

2 x^{3} + 3 x^{2} + 8 x + 12 = 0