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Beliebt Algebra >

x^3-2x^2-12x=0

Lösung

x^{3} - 2 x^{2} - 12 x = 0

Lösung

x = 0, x = 1 + 13, x = 1 - 13

+1

Dezimale

x = 0, x = 4.60555 \dots, x = - 2.60555 \dots

Schritte zur Lösung

x^{3} - 2 x^{2} - 12 x = 0

Faktorisiere

x^{3} - 2 x^{2} - 12 x : x (x^{2} - 2 x - 12)

x (x^{2} - 2 x - 12) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} - 2 x - 12 = 0

Löse

x^{2} - 2 x - 12 = 0 : x = 1 + 13, x = 1 - 13

Die Lösungen sind

x = 0, x = 1 + 13, x = 1 - 13

Graph

Beliebte Beispiele

6x^{(3)}+9x^{(2)}+4x+6=0

6 x^{(3)} + 9 x^{(2)} + 4 x + 6 = 0

x^3+5x^2+16x+80=0

x^{3} + 5 x^{2} + 16 x + 80 = 0

0 = x^{4} - 4 x^{2} - 45

(1-y)(3-y)(6-y)=-70

(1 - y) (3 - y) (6 - y) = - 70

2 x^{3} - 2 x^{2} + 5 = 0