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Beliebt Algebra >

5x^5-45x=0

Lösung

5 x^{5} - 45 x = 0

Lösung

x = 0, x = 3 i, x = - 3 i, x = - 3, x = 3

Schritte zur Lösung

5 x^{5} - 45 x = 0

Faktorisiere

5 x^{5} - 45 x : 5 x (x^{2} + 3) (x + 3) (x - 3)

5 x (x^{2} + 3) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + 3 = 0 or x + 3 = 0 or x - 3 = 0

Löse

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

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = 0, x = 3 i, x = - 3 i, x = - 3, x = 3

Graph

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