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Beliebt Algebra >

9.6x-0.6x^5=0

Lösung

9.6 x - 0.6 x^{5} = 0

Lösung

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

Schritte zur Lösung

9.6 x - 0.6 x^{5} = 0

Faktorisiere

9.6 x - 0.6 x^{5} : - x (0.6 x^{2} + 9.6) (4 0.6 x + 4 9.6) (4 0.6 x - 4 9.6)

- x (0.6 x^{2} + 9.6) (4 0.6 x + 4 9.6) (4 0.6 x - 4 9.6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 0.6 x^{2} + 9.6 = 0 or 4 0.6 x + 4 9.6 = 0 or 4 0.6 x - 4 9.6 = 0

Löse

0.6 x^{2} + 9.6 = 0 : x = 2 i, x = - 2 i

Löse

4 0.6 x + 4 9.6 = 0 : x = - 2

Löse

4 0.6 x - 4 9.6 = 0 : x = 2

Die Lösungen sind

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

Graph

Beliebte Beispiele

- x^{3} + 4 x^{2} + 5 x = 0

6 x^{4} = 324

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

- x^{3} + 3 x = 0

2 x^{3} + 5 x^{2} = 3 x