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Beliebt Algebra >

x^5-x^4-3x^3=0

Lösung

x^{5} - x^{4} - 3 x^{3} = 0

Lösung

x = 0, x = \frac{1 + 13}{2}, x = \frac{1 - 13}{2}

+1

Dezimale

x = 0, x = 2.30277 \dots, x = - 1.30277 \dots

Schritte zur Lösung

x^{5} - x^{4} - 3 x^{3} = 0

Faktorisiere

x^{5} - x^{4} - 3 x^{3} : x^{3} (x^{2} - x - 3)

x^{3} (x^{2} - x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} - x - 3 = 0

Löse

x^{2} - x - 3 = 0 : x = \frac{1 + 13}{2}, x = \frac{1 - 13}{2}

Die Lösungen sind

x = 0, x = \frac{1 + 13}{2}, x = \frac{1 - 13}{2}

Graph

Beliebte Beispiele

(x-4)^2=(x-4)^4

(x - 4)^{2} = (x - 4)^{4}

2 x^{3} + 5 x - 1 = 0

x^{3} - x - 20 = 0

8.62x^3-4.5833x-0.8035=0

8.62 x^{3} - 4.5833 x - 0.8035 = 0

15x^3+14x^2-8x=9

15 x^{3} + 14 x^{2} - 8 x = 9