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Beliebt Algebra >

5x^3+23x^2+20x-12=0

Lösung

5 x^{3} + 23 x^{2} + 20 x - 12 = 0

Lösung

x = - 2, x = \frac{2}{5}, x = - 3

+1

Dezimale

x = - 2, x = 0.4, x = - 3

Schritte zur Lösung

5 x^{3} + 23 x^{2} + 20 x - 12 = 0

Faktorisiere

5 x^{3} + 23 x^{2} + 20 x - 12 : (x + 2) (5 x - 2) (x + 3)

(x + 2) (5 x - 2) (x + 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or 5 x - 2 = 0 or x + 3 = 0

Löse

x + 2 = 0 : x = - 2

Löse

5 x - 2 = 0 : x = \frac{2}{5}

Löse

x + 3 = 0 : x = - 3

Die Lösungen sind

x = - 2, x = \frac{2}{5}, x = - 3

Graph

Beliebte Beispiele

x^{3} - x - 3360 = 0

b^3+2b^2-10b-19=0

b^{3} + 2 b^{2} - 10 b - 19 = 0

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