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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = 0, x = - 0.5, x = - 1

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

2 x + 1 = 0 : x = - \frac{1}{2}

Löse

x + 1 = 0 : x = - 1

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^{3} + 5 x^{2} - 20 = 0

18x^3+9x^2-2x-1=0

18 x^{3} + 9 x^{2} - 2 x - 1 = 0

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

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

x (x + 4) (x - 1) = 0