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Beliebt Algebra >

x^4+27x=0

Lösung

x^{4} + 27 x = 0

Lösung

x = 0, x = - 3, x = \frac{3}{2} - \frac{3 3}{2} i, x = \frac{3}{2} + \frac{3 3}{2} i

Schritte zur Lösung

x^{4} + 27 x = 0

Faktorisiere

x^{4} + 27 x : x (x^{3} + 27)

x (x^{3} + 27) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{3} + 27 = 0

Löse

x^{3} + 27 = 0 : x = - 3, x = \frac{3}{2} - \frac{3 3}{2} i, x = \frac{3}{2} + \frac{3 3}{2} i

Die Lösungen sind

x = 0, x = - 3, x = \frac{3}{2} - \frac{3 3}{2} i, x = \frac{3}{2} + \frac{3 3}{2} i

Graph

Beliebte Beispiele

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