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Beliebt Algebra >

3x^3+15x^2-2x-10=0

Lösung

3 x^{3} + 15 x^{2} - 2 x - 10 = 0

Lösung

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

+1

Dezimale

x = - 5, x = - 0.81649 \dots, x = 0.81649 \dots

Schritte zur Lösung

3 x^{3} + 15 x^{2} - 2 x - 10 = 0

Faktorisiere

3 x^{3} + 15 x^{2} - 2 x - 10 : (x + 5) (3 x + 2) (3 x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 5 = 0 : x = - 5

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

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