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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 = 5.82842 \dots, x = 0.17157 \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

x^{5} = x^{4}

faktorisieren x^3+3x^2-4x-12=0

f a c t or x^{3} + 3 x^{2} - 4 x - 12 = 0

(9 x - 3)^{4} - 2 = 0

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

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

x^4-8x^3+17x^2+2x-24=0

x^{4} - 8 x^{3} + 17 x^{2} + 2 x - 24 = 0