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Beliebt Algebra >

2x^3+5x^2-4x-3=0

Lösung

2 x^{3} + 5 x^{2} - 4 x - 3 = 0

Lösung

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

+1

Dezimale

x = 1, x = - 0.5, x = - 3

Schritte zur Lösung

2 x^{3} + 5 x^{2} - 4 x - 3 = 0

Faktorisiere

2 x^{3} + 5 x^{2} - 4 x - 3 : (x - 1) (2 x + 1) (x + 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

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

Löse

x + 3 = 0 : x = - 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

4 x^{3} = 36

x^3-10x^2+28x-24=0

x^{3} - 10 x^{2} + 28 x - 24 = 0

x^3-3x^2-5x+15=0

x^{3} - 3 x^{2} - 5 x + 15 = 0

5893D^5+0.02D=1.8

5893 D^{5} + 0.02 D = 1.8

x^{2} x^{6} = 256