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Beliebt Algebra >

x^4+6x^3+3x^2-16x+6=0

Lösung

x^{4} + 6 x^{3} + 3 x^{2} - 16 x + 6 = 0

Lösung

x = 1, x = - 3, x = - 2 + 6, x = - 2 - 6

+1

Dezimale

x = 1, x = - 3, x = 0.44948 \dots, x = - 4.44948 \dots

Schritte zur Lösung

x^{4} + 6 x^{3} + 3 x^{2} - 16 x + 6 = 0

Faktorisiere

x^{4} + 6 x^{3} + 3 x^{2} - 16 x + 6 : (x - 1) (x + 3) (x^{2} + 4 x - 2)

(x - 1) (x + 3) (x^{2} + 4 x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or x + 3 = 0 or x^{2} + 4 x - 2 = 0

Löse

x - 1 = 0 : x = 1

Löse

x + 3 = 0 : x = - 3

Löse

x^{2} + 4 x - 2 = 0 : x = - 2 + 6, x = - 2 - 6

Die Lösungen sind

x = 1, x = - 3, x = - 2 + 6, x = - 2 - 6

Graph

Beliebte Beispiele

-x^3-6x^2-12x-8=0

- x^{3} - 6 x^{2} - 12 x - 8 = 0

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

2(x+6)(x^2+36)=0

2 (x + 6) (x^{2} + 36) = 0

- x^{3} + 5 x^{2} - 3 x = 1

x^3-3x^2-6x-8=0

x^{3} - 3 x^{2} - 6 x - 8 = 0