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Beliebt Algebra >

x^4-15x^2-10x+24=0

Lösung

x^{4} - 15 x^{2} - 10 x + 24 = 0

Lösung

x = 1, x = - 2, x = - 3, x = 4

Schritte zur Lösung

x^{4} - 15 x^{2} - 10 x + 24 = 0

Faktorisiere

x^{4} - 15 x^{2} - 10 x + 24 : (x - 1) (x + 2) (x + 3) (x - 4)

(x - 1) (x + 2) (x + 3) (x - 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

x + 2 = 0 : x = - 2

Löse

x + 3 = 0 : x = - 3

Löse

x - 4 = 0 : x = 4

Die Lösungen sind

x = 1, x = - 2, x = - 3, x = 4

Graph

Beliebte Beispiele

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20 x^{4} + 160 x^{2} - 285 = 0

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