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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = - 3, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

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

Faktorisiere

x^{3} + 3 x^{2} - 3 x - 9 : (x + 3) (x + 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 3 = 0 : x = - 3

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

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

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

x^2(x+1)-64(x+1)=0

x^{2} (x + 1) - 64 (x + 1) = 0

x^{3} + 6 x^{2} = 16 x

x^{3} = 100

x^{3} = \frac{8}{27}