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Beliebt Algebra >

x^4+6x^3-3x^2-24x-4=0

Lösung

x^{4} + 6 x^{3} - 3 x^{2} - 24 x - 4 = 0

Lösung

x = - 2, x = 2, x = - 3 + 22, x = - 3 - 22

+1

Dezimale

x = - 2, x = 2, x = - 0.17157 \dots, x = - 5.82842 \dots

Schritte zur Lösung

x^{4} + 6 x^{3} - 3 x^{2} - 24 x - 4 = 0

Faktorisiere

x^{4} + 6 x^{3} - 3 x^{2} - 24 x - 4 : (x + 2) (x - 2) (x^{2} + 6 x + 1)

(x + 2) (x - 2) (x^{2} + 6 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or x - 2 = 0 or x^{2} + 6 x + 1 = 0

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Löse

x^{2} + 6 x + 1 = 0 : x = - 3 + 22, x = - 3 - 22

Die Lösungen sind

x = - 2, x = 2, x = - 3 + 22, x = - 3 - 22

Graph

Beliebte Beispiele

wurzeln von x^4-6x^3+2x^2+26x+17

roo t s x^{4} - 6 x^{3} + 2 x^{2} + 26 x + 17

9x^3+9x^2-x-1=0

9 x^{3} + 9 x^{2} - x - 1 = 0

x^5-6x^4+10x^3-6x^2+9x=0

x^{5} - 6 x^{4} + 10 x^{3} - 6 x^{2} + 9 x = 0

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

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

2x^4-x^3-3x-18=0

2 x^{4} - x^{3} - 3 x - 18 = 0