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Beliebt Algebra >

x^3+2x^2-6x-12=0

Lösung

x^{3} + 2 x^{2} - 6 x - 12 = 0

Lösung

x = - 2, x = - 6, x = 6

+1

Dezimale

x = - 2, x = - 2.44948 \dots, x = 2.44948 \dots

Schritte zur Lösung

x^{3} + 2 x^{2} - 6 x - 12 = 0

Faktorisiere

x^{3} + 2 x^{2} - 6 x - 12 : (x + 2) (x + 6) (x - 6)

(x + 2) (x + 6) (x - 6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or x + 6 = 0 or x - 6 = 0

Löse

x + 2 = 0 : x = - 2

Löse

x + 6 = 0 : x = - 6

Löse

x - 6 = 0 : x = 6

Die Lösungen sind

x = - 2, x = - 6, x = 6

Graph

Beliebte Beispiele

x^{4} - 4 x^{2} - 21 = 0

16x^3-32x^2-4x+8=0

16 x^{3} - 32 x^{2} - 4 x + 8 = 0

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x(x-5)(x-7)=x(7-x)

x (x - 5) (x - 7) = x (7 - x)

x^3-5x^2-25x=-125

x^{3} - 5 x^{2} - 25 x = - 125