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Beliebt Algebra >

x^4-x^3-13x^2+x+12=0

Lösung

x^{4} - x^{3} - 13 x^{2} + x + 12 = 0

Lösung

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

Schritte zur Lösung

x^{4} - x^{3} - 13 x^{2} + x + 12 = 0

Faktorisiere

x^{4} - x^{3} - 13 x^{2} + x + 12 : (x + 1) (x - 1) (x + 3) (x - 4)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Löse

x + 3 = 0 : x = - 3

Löse

x - 4 = 0 : x = 4

Die Lösungen sind

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

Graph

Beliebte Beispiele

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200 x - 0.02 x^{2} - 0.000002 x^{3} - 80000 = 0

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2 x^{3} - 14 x^{2} + 2 x - 14 = 0

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24 x^{3} + 46 x^{2} + 9 x - 9 = 0

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