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Beliebt Algebra >

x^4+x^3-5x^2+x-6=0

Lösung

x^{4} + x^{3} - 5 x^{2} + x - 6 = 0

Lösung

x = 2, x = - 3, x = i, x = - i

Schritte zur Lösung

x^{4} + x^{3} - 5 x^{2} + x - 6 = 0

Faktorisiere

x^{4} + x^{3} - 5 x^{2} + x - 6 : (x - 2) (x + 3) (x^{2} + 1)

(x - 2) (x + 3) (x^{2} + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 2 = 0 : x = 2

Löse

x + 3 = 0 : x = - 3

Löse

x^{2} + 1 = 0 : x = i, x = - i

Die Lösungen sind

x = 2, x = - 3, x = i, x = - i

Graph

Beliebte Beispiele

x^{8} + 63 x^{4} = 64

z^6-2sqrt(3)z^4+4z^2=0

z^{6} - 23 z^{4} + 4 z^{2} = 0

x^3+2x^2+9x+18=0

x^{3} + 2 x^{2} + 9 x + 18 = 0

z^{3} - 8 = 0

2x^4-47x^2-75=0

2 x^{4} - 47 x^{2} - 75 = 0