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Beliebt Algebra >

x^4+2x^3-13x^2-14x+24=0

Lösung

x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24 = 0

Lösung

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

Schritte zur Lösung

x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24 = 0

Faktorisiere

x^{4} + 2 x^{3} - 13 x^{2} - 14 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

solvefor x,x^4-1=0

so l v e f or x, x^{4} - 1 = 0

z^{4} = 1 - i

5 x^{3} + x = 0

x^3-10x^2+27x-18=0

x^{3} - 10 x^{2} + 27 x - 18 = 0

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

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