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Beliebt Algebra >

x^3-6x^2-15x+90=0

Lösung

x^{3} - 6 x^{2} - 15 x + 90 = 0

Lösung

x = 6, x = - 15, x = 15

+1

Dezimale

x = 6, x = - 3.87298 \dots, x = 3.87298 \dots

Schritte zur Lösung

x^{3} - 6 x^{2} - 15 x + 90 = 0

Faktorisiere

x^{3} - 6 x^{2} - 15 x + 90 : (x - 6) (x + 15) (x - 15)

(x - 6) (x + 15) (x - 15) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 6 = 0 or x + 15 = 0 or x - 15 = 0

Löse

x - 6 = 0 : x = 6

Löse

x + 15 = 0 : x = - 15

Löse

x - 15 = 0 : x = 15

Die Lösungen sind

x = 6, x = - 15, x = 15

Graph

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