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Beliebt Algebra >

6x^4+29x^3+23x^2-30x=0

Lösung

6 x^{4} + 29 x^{3} + 23 x^{2} - 30 x = 0

Lösung

x = 0, x = - 3, x = \frac{2}{3}, x = - \frac{5}{2}

+1

Dezimale

x = 0, x = - 3, x = 0.66666 \dots, x = - 2.5

Schritte zur Lösung

6 x^{4} + 29 x^{3} + 23 x^{2} - 30 x = 0

Faktorisiere

6 x^{4} + 29 x^{3} + 23 x^{2} - 30 x : x (x + 3) (3 x - 2) (2 x + 5)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 3 = 0 : x = - 3

Löse

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

Löse

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

Die Lösungen sind

x = 0, x = - 3, x = \frac{2}{3}, x = - \frac{5}{2}

Graph

Beliebte Beispiele

x^3+7x^2-49x-343=0

x^{3} + 7 x^{2} - 49 x - 343 = 0

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x^{3} - 5 x^{2} - 2 x + 24 = 0

x^{4} - 19 x^{2} + 48 = 0

x^{3} + x = 2