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Beliebt Algebra >

3x^3+2x^2-27x-18=0

Lösung

3 x^{3} + 2 x^{2} - 27 x - 18 = 0

Lösung

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

+1

Dezimale

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

Schritte zur Lösung

3 x^{3} + 2 x^{2} - 27 x - 18 = 0

Faktorisiere

3 x^{3} + 2 x^{2} - 27 x - 18 : (3 x + 2) (x + 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

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0 = 2 x^{7} + 3 x^{5} - 9 x^{2} + 6

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

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