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Beliebt Algebra >

x^3+7x^2-5x-35=0

Lösung

x^{3} + 7 x^{2} - 5 x - 35 = 0

Lösung

x = - 7, x = - 5, x = 5

+1

Dezimale

x = - 7, x = - 2.23606 \dots, x = 2.23606 \dots

Schritte zur Lösung

x^{3} + 7 x^{2} - 5 x - 35 = 0

Faktorisiere

x^{3} + 7 x^{2} - 5 x - 35 : (x + 7) (x + 5) (x - 5)

(x + 7) (x + 5) (x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 7 = 0 or x + 5 = 0 or x - 5 = 0

Löse

x + 7 = 0 : x = - 7

Löse

x + 5 = 0 : x = - 5

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

x = - 7, x = - 5, x = 5

Graph

Beliebte Beispiele

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