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Beliebt Algebra >

3x^3-19x^2-14x=0

Lösung

3 x^{3} - 19 x^{2} - 14 x = 0

Lösung

x = 0, x = - \frac{2}{3}, x = 7

+1

Dezimale

x = 0, x = - 0.66666 \dots, x = 7

Schritte zur Lösung

3 x^{3} - 19 x^{2} - 14 x = 0

Faktorisiere

3 x^{3} - 19 x^{2} - 14 x : x (3 x + 2) (x - 7)

x (3 x + 2) (x - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 3 x + 2 = 0 or x - 7 = 0

Löse

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

Löse

x - 7 = 0 : x = 7

Die Lösungen sind

x = 0, x = - \frac{2}{3}, x = 7

Graph

Beliebte Beispiele

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

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

2x-3=8x^3-12x^2

2 x - 3 = 8 x^{3} - 12 x^{2}

4 x^{3} - 9 x = 0

x^{4} - 15 x^{2} + 54 = 0