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Beliebt Algebra >

9x^5-36x=0

Lösung

9 x^{5} - 36 x = 0

Lösung

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

Schritte zur Lösung

9 x^{5} - 36 x = 0

Faktorisiere

9 x^{5} - 36 x : 9 x (x^{2} + 2) (x + 2) (x - 2)

9 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^{3} - x^{2} - 4 x - 1 = 0

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1x^3-2x^2-5x+6=0

1 x^{3} - 2 x^{2} - 5 x + 6 = 0