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Beliebt Algebra >

x^3-3x^2-18x+54=0

Lösung

x^{3} - 3 x^{2} - 18 x + 54 = 0

Lösung

x = 3, x = - 32, x = 32

+1

Dezimale

x = 3, x = - 4.24264 \dots, x = 4.24264 \dots

Schritte zur Lösung

x^{3} - 3 x^{2} - 18 x + 54 = 0

Faktorisiere

x^{3} - 3 x^{2} - 18 x + 54 : (x - 3) (x + 32) (x - 32)

(x - 3) (x + 32) (x - 32) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or x + 32 = 0 or x - 32 = 0

Löse

x - 3 = 0 : x = 3

Löse

x + 32 = 0 : x = - 32

Löse

x - 32 = 0 : x = 32

Die Lösungen sind

x = 3, x = - 32, x = 32

Graph

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