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Beliebt Algebra >

x^3-2x^2-14x+28=0

Lösung

x^{3} - 2 x^{2} - 14 x + 28 = 0

Lösung

x = 2, x = - 14, x = 14

+1

Dezimale

x = 2, x = - 3.74165 \dots, x = 3.74165 \dots

Schritte zur Lösung

x^{3} - 2 x^{2} - 14 x + 28 = 0

Faktorisiere

x^{3} - 2 x^{2} - 14 x + 28 : (x - 2) (x + 14) (x - 14)

(x - 2) (x + 14) (x - 14) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 2 = 0 or x + 14 = 0 or x - 14 = 0

Löse

x - 2 = 0 : x = 2

Löse

x + 14 = 0 : x = - 14

Löse

x - 14 = 0 : x = 14

Die Lösungen sind

x = 2, x = - 14, x = 14

Graph

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