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Beliebt Algebra >

25x^3-64x=0

Lösung

25 x^{3} - 64 x = 0

Lösung

x = 0, x = - \frac{8}{5}, x = \frac{8}{5}

+1

Dezimale

x = 0, x = - 1.6, x = 1.6

Schritte zur Lösung

25 x^{3} - 64 x = 0

Faktorisiere

25 x^{3} - 64 x : x (5 x + 8) (5 x - 8)

x (5 x + 8) (5 x - 8) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 5 x + 8 = 0 or 5 x - 8 = 0

Löse

5 x + 8 = 0 : x = - \frac{8}{5}

Löse

5 x - 8 = 0 : x = \frac{8}{5}

Die Lösungen sind

x = 0, x = - \frac{8}{5}, x = \frac{8}{5}

Graph

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