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Beliebt Algebra >

18x^3+9x^2-2x-1=0

Lösung

18 x^{3} + 9 x^{2} - 2 x - 1 = 0

Lösung

x = - \frac{1}{2}, x = - \frac{1}{3}, x = \frac{1}{3}

+1

Dezimale

x = - 0.5, x = - 0.33333 \dots, x = 0.33333 \dots

Schritte zur Lösung

18 x^{3} + 9 x^{2} - 2 x - 1 = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

2 x + 1 = 0 : x = - \frac{1}{2}

Löse

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

Löse

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

Die Lösungen sind

x = - \frac{1}{2}, x = - \frac{1}{3}, x = \frac{1}{3}

Graph

Beliebte Beispiele

4 x^{3} - 1 = 2 x^{2} - 2 x

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

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-x^3+12x^2-21x+10=0

- x^{3} + 12 x^{2} - 21 x + 10 = 0