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Beliebt Algebra >

6x^3+x^2-54x-9=0

Lösung

6 x^{3} + x^{2} - 54 x - 9 = 0

Lösung

x = - \frac{1}{6}, x = - 3, x = 3

+1

Dezimale

x = - 0.16666 \dots, x = - 3, x = 3

Schritte zur Lösung

6 x^{3} + x^{2} - 54 x - 9 = 0

Faktorisiere

6 x^{3} + x^{2} - 54 x - 9 : (6 x + 1) (x + 3) (x - 3)

(6 x + 1) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

6 x + 1 = 0 or x + 3 = 0 or x - 3 = 0

Löse

6 x + 1 = 0 : x = - \frac{1}{6}

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = - \frac{1}{6}, x = - 3, x = 3

Graph

Beliebte Beispiele

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x^3+13x^2+57x+85=0

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