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Beliebt Algebra >

x^3-7x^2-x+7=0

Lösung

x^{3} - 7 x^{2} - x + 7 = 0

Lösung

x = 7, x = - 1, x = 1

Schritte zur Lösung

x^{3} - 7 x^{2} - x + 7 = 0

Faktorisiere

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

(x - 7) (x + 1) (x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 7 = 0 or x + 1 = 0 or x - 1 = 0

Löse

x - 7 = 0 : x = 7

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Die Lösungen sind

x = 7, x = - 1, x = 1

Graph

Beliebte Beispiele

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