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Beliebt Algebra >

x^4+2x^3-7x^2-8x+12=0

Lösung

x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 12 = 0

Lösung

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

Schritte zur Lösung

x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 12 = 0

Faktorisiere

x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 12 : (x - 1) (x + 3) (x + 2) (x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

x + 3 = 0 : x = - 3

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

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

Graph

Beliebte Beispiele

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