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Beliebt Algebra >

3x^3-x^2-27x+9=0

Lösung

3 x^{3} - x^{2} - 27 x + 9 = 0

Lösung

x = \frac{1}{3}, x = - 3, x = 3

+1

Dezimale

x = 0.33333 \dots, x = - 3, x = 3

Schritte zur Lösung

3 x^{3} - x^{2} - 27 x + 9 = 0

Faktorisiere

3 x^{3} - x^{2} - 27 x + 9 : (3 x - 1) (x + 3) (x - 3)

(3 x - 1) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x - 1 = 0 or x + 3 = 0 or x - 3 = 0

Löse

3 x - 1 = 0 : x = \frac{1}{3}

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = \frac{1}{3}, x = - 3, x = 3

Graph

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