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Beliebt Algebra >

8x^5-32x=0

Lösung

8 x^{5} - 32 x = 0

Lösung

x = 0, x = 2 i, x = - 2 i, x = - 2, x = 2

Schritte zur Lösung

8 x^{5} - 32 x = 0

Faktorisiere

8 x^{5} - 32 x : 8 x (x^{2} + 2) (x + 2) (x - 2)

8 x (x^{2} + 2) (x + 2) (x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = 0, x = 2 i, x = - 2 i, x = - 2, x = 2

Graph

Beliebte Beispiele

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

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x (5 x - 3) (x - 6) = 0