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Beliebt Algebra >

x^3+6x^2-13x-78=0

Lösung

x^{3} + 6 x^{2} - 13 x - 78 = 0

Lösung

x = - 6, x = - 13, x = 13

+1

Dezimale

x = - 6, x = - 3.60555 \dots, x = 3.60555 \dots

Schritte zur Lösung

x^{3} + 6 x^{2} - 13 x - 78 = 0

Faktorisiere

x^{3} + 6 x^{2} - 13 x - 78 : (x + 6) (x + 13) (x - 13)

(x + 6) (x + 13) (x - 13) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 6 = 0 or x + 13 = 0 or x - 13 = 0

Löse

x + 6 = 0 : x = - 6

Löse

x + 13 = 0 : x = - 13

Löse

x - 13 = 0 : x = 13

Die Lösungen sind

x = - 6, x = - 13, x = 13

Graph

Beliebte Beispiele

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