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Beliebt Algebra >

x^4-x^3+7x^2-9x-18=0

Lösung

x^{4} - x^{3} + 7 x^{2} - 9 x - 18 = 0

Lösung

x = - 1, x = 2, x = 3 i, x = - 3 i

Schritte zur Lösung

x^{4} - x^{3} + 7 x^{2} - 9 x - 18 = 0

Faktorisiere

x^{4} - x^{3} + 7 x^{2} - 9 x - 18 : (x + 1) (x - 2) (x^{2} + 9)

(x + 1) (x - 2) (x^{2} + 9) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x - 2 = 0 or x^{2} + 9 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x - 2 = 0 : x = 2

Löse

x^{2} + 9 = 0 : x = 3 i, x = - 3 i

Die Lösungen sind

x = - 1, x = 2, x = 3 i, x = - 3 i

Graph

Beliebte Beispiele

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