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Beliebt Algebra >

x^3-6x^2-3x+18=0

Lösung

x^{3} - 6 x^{2} - 3 x + 18 = 0

Lösung

x = 6, x = - 3, x = 3

+1

Dezimale

x = 6, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

x^{3} - 6 x^{2} - 3 x + 18 = 0

Faktorisiere

x^{3} - 6 x^{2} - 3 x + 18 : (x - 6) (x + 3) (x - 3)

(x - 6) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 6 = 0 or x + 3 = 0 or x - 3 = 0

Löse

x - 6 = 0 : x = 6

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = 6, x = - 3, x = 3

Graph

Beliebte Beispiele

u^{3} = 8

2 x^{3} + 3 = 0

x^4-3x^3-6x^2-28x-24=0

x^{4} - 3 x^{3} - 6 x^{2} - 28 x - 24 = 0

0 = x^{3} + 3

0 = x^{3} + x