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Beliebt Algebra >

x^4+x^3-7x^2-x+6=0

Lösung

x^{4} + x^{3} - 7 x^{2} - x + 6 = 0

Lösung

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

Schritte zur Lösung

x^{4} + x^{3} - 7 x^{2} - x + 6 = 0

Faktorisiere

x^{4} + x^{3} - 7 x^{2} - x + 6 : (x + 1) (x - 1) (x - 2) (x + 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Löse

x - 2 = 0 : x = 2

Löse

x + 3 = 0 : x = - 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

9 c + 8 c^{5} + 8 = 100

(m+1)(m^2-m+1)=0

(m + 1) (m^{2} - m + 1) = 0

k^{3} = 24 + k

x^{4} - x^{2} - 72 = 0

[x]^{3} - 2 [x] + 1 = 0