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Beliebt Algebra >

-3x^3-5x^2-2x=0

Lösung

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

Lösung

x = 0, x = - \frac{2}{3}, x = - 1

+1

Dezimale

x = 0, x = - 0.66666 \dots, x = - 1

Schritte zur Lösung

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

Faktorisiere

- 3 x^{3} - 5 x^{2} - 2 x : - x (3 x + 2) (x + 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 3 x + 2 = 0 or x + 1 = 0

Löse

3 x + 2 = 0 : x = - \frac{2}{3}

Löse

x + 1 = 0 : x = - 1

Die Lösungen sind

x = 0, x = - \frac{2}{3}, x = - 1

Graph

Beliebte Beispiele

3x^1-4x^2-7x^3=-2

3 x^{1} - 4 x^{2} - 7 x^{3} = - 2

4 x^{3} - 78 x = 0

(x+1)(x^2-24)-(x+1)=0

(x + 1) (x^{2} - 24) - (x + 1) = 0

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

x^{6} = 10