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Beliebt Algebra >

x^3-x-3360=0

Lösung

x^{3} - x - 3360 = 0

Lösung

x = 15, x = - \frac{15}{2} + i \frac{671}{2}, x = - \frac{15}{2} - i \frac{671}{2}

Schritte zur Lösung

x^{3} - x - 3360 = 0

Faktorisiere

x^{3} - x - 3360 : (x - 15) (x^{2} + 15 x + 224)

(x - 15) (x^{2} + 15 x + 224) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 15 = 0 or x^{2} + 15 x + 224 = 0

Löse

x - 15 = 0 : x = 15

Löse

x^{2} + 15 x + 224 = 0 : x = - \frac{15}{2} + i \frac{671}{2}, x = - \frac{15}{2} - i \frac{671}{2}

Die Lösungen sind

x = 15, x = - \frac{15}{2} + i \frac{671}{2}, x = - \frac{15}{2} - i \frac{671}{2}

Graph

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