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Beliebt Algebra >

-2x(x^2-5)(x^2+100)=0

Lösung

- 2 x (x^{2} - 5) (x^{2} + 100) = 0

Lösung

x = 0, x = 10 i, x = - 10 i, x = - 5, x = 5

Schritte zur Lösung

- 2 x (x^{2} - 5) (x^{2} + 100) = 0

Faktorisiere

- 2 x (x^{2} - 5) (x^{2} + 100) : - 2 x (x^{2} + 100) (x + 5) (x - 5)

- 2 x (x^{2} + 100) (x + 5) (x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + 100 = 0 or x + 5 = 0 or x - 5 = 0

Löse

x^{2} + 100 = 0 : x = 10 i, x = - 10 i

Löse

x + 5 = 0 : x = - 5

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

x = 0, x = 10 i, x = - 10 i, x = - 5, x = 5

Graph

Beliebte Beispiele

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

5 x^{3} = 9 x^{2}

-x^3-12x^2+60x-64=0

- x^{3} - 12 x^{2} + 60 x - 64 = 0

2 x^{3} + 4 - 6 x = 0

-12+14(x^2-3)=2(x^2-3)^2

- 12 + 14 (x^{2} - 3) = 2 (x^{2} - 3)^{2}