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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = - 1, x = - 0.33333 \dots, x = 0.33333 \dots

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^5-6x^4+10x^3-6x^2+9x=0

x^{5} - 6 x^{4} + 10 x^{3} - 6 x^{2} + 9 x = 0

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

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

2x^4-x^3-3x-18=0

2 x^{4} - x^{3} - 3 x - 18 = 0

x^{5} - 5 x^{3} - 36 x = 0

x^3-x^2-15x-25=0

x^{3} - x^{2} - 15 x - 25 = 0