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Beliebt Algebra >

3x^3+9x^2+8x=0

Lösung

3 x^{3} + 9 x^{2} + 8 x = 0

Lösung

x = 0, x = - \frac{3}{2} + i \frac{15}{6}, x = - \frac{3}{2} - i \frac{15}{6}

Schritte zur Lösung

3 x^{3} + 9 x^{2} + 8 x = 0

Faktorisiere

3 x^{3} + 9 x^{2} + 8 x : x (3 x^{2} + 9 x + 8)

x (3 x^{2} + 9 x + 8) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 3 x^{2} + 9 x + 8 = 0

Löse

3 x^{2} + 9 x + 8 = 0 : x = - \frac{3}{2} + i \frac{15}{6}, x = - \frac{3}{2} - i \frac{15}{6}

Die Lösungen sind

x = 0, x = - \frac{3}{2} + i \frac{15}{6}, x = - \frac{3}{2} - i \frac{15}{6}

Graph

Beliebte Beispiele

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2 x^{3} - x^{2} - 15 x + 18 = 0

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