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Beliebt Algebra >

x^3-x-990=0

Lösung

x^{3} - x - 990 = 0

Lösung

x = 10, x = - 5 + 74 i, x = - 5 - 74 i

Schritte zur Lösung

x^{3} - x - 990 = 0

Faktorisiere

x^{3} - x - 990 : (x - 10) (x^{2} + 10 x + 99)

(x - 10) (x^{2} + 10 x + 99) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 10 = 0 or x^{2} + 10 x + 99 = 0

Löse

x - 10 = 0 : x = 10

Löse

x^{2} + 10 x + 99 = 0 : x = - 5 + 74 i, x = - 5 - 74 i

Die Lösungen sind

x = 10, x = - 5 + 74 i, x = - 5 - 74 i

Graph

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