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Beliebt Algebra >

12x^3+9x^2-108x-81=0

Lösung

12 x^{3} + 9 x^{2} - 108 x - 81 = 0

Lösung

x = - \frac{3}{4}, x = - 3, x = 3

+1

Dezimale

x = - 0.75, x = - 3, x = 3

Schritte zur Lösung

12 x^{3} + 9 x^{2} - 108 x - 81 = 0

Faktorisiere

12 x^{3} + 9 x^{2} - 108 x - 81 : 3 (4 x + 3) (x + 3) (x - 3)

3 (4 x + 3) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

4 x + 3 = 0 or x + 3 = 0 or x - 3 = 0

Löse

4 x + 3 = 0 : x = - \frac{3}{4}

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = - \frac{3}{4}, x = - 3, x = 3

Graph

Beliebte Beispiele

(3x+5)^4-(3x+5)^3=0

(3 x + 5)^{4} - (3 x + 5)^{3} = 0

268 = r^{4}

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

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

2x^5-x^4-32x=16

2 x^{5} - x^{4} - 32 x = 16