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Beliebt Algebra >

-2x(x^2-5)(x^2+1)=0

Lösung

- 2 x (x^{2} - 5) (x^{2} + 1) = 0

Lösung

x = 0, x = i, x = - i, x = - 5, x = 5

Schritte zur Lösung

- 2 x (x^{2} - 5) (x^{2} + 1) = 0

Faktorisiere

- 2 x (x^{2} - 5) (x^{2} + 1) : - 2 x (x^{2} + 1) (x + 5) (x - 5)

- 2 x (x^{2} + 1) (x + 5) (x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + 1 = 0 or x + 5 = 0 or x - 5 = 0

Löse

x^{2} + 1 = 0 : x = i, x = - i

Löse

x + 5 = 0 : x = - 5

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

x = 0, x = i, x = - i, x = - 5, x = 5

Graph

Beliebte Beispiele

x^{4} - 7 x^{2} - 5 = 0

2 x^{3} + 5 x + 7 = 0

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

x^3+12x^2+29*+18=0

x^{3} + 12 x^{2} + 29 \cdot + 18 = 0

4z(z^2-5)=4z^2-27

4 z (z^{2} - 5) = 4 z^{2} - 27