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Beliebt Algebra >

x^3+x^2+6x=0

Lösung

x^{3} + x^{2} + 6 x = 0

Lösung

x = 0, x = - \frac{1}{2} + i \frac{23}{2}, x = - \frac{1}{2} - i \frac{23}{2}

Schritte zur Lösung

x^{3} + x^{2} + 6 x = 0

Faktorisiere

x^{3} + x^{2} + 6 x : x (x^{2} + x + 6)

x (x^{2} + x + 6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + x + 6 = 0

Löse

x^{2} + x + 6 = 0 : x = - \frac{1}{2} + i \frac{23}{2}, x = - \frac{1}{2} - i \frac{23}{2}

Die Lösungen sind

x = 0, x = - \frac{1}{2} + i \frac{23}{2}, x = - \frac{1}{2} - i \frac{23}{2}

Graph

Beliebte Beispiele

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x^{4} + 4 x^{2} - 5 = 0

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