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Beliebt Algebra >

x^4-4x^3-5x^2=0

Lösung

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

Lösung

x = 0, x = - 1, x = 5

Schritte zur Lösung

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

Faktorisiere

x^{4} - 4 x^{3} - 5 x^{2} : x^{2} (x + 1) (x - 5)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x + 1 = 0 or x - 5 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

x = 0, x = - 1, x = 5

Graph

Beliebte Beispiele

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

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

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4 x^{3} + 8 x^{2} - 25 x - 50 = 0

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

x^4+2x^3+x^2-2x-1=0

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