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Beliebt Algebra >

240x^3+180x^2-1440x=0

Lösung

240 x^{3} + 180 x^{2} - 1440 x = 0

Lösung

x = 0, x = \frac{- 3 + 393}{8}, x = \frac{- 3 - 393}{8}

+1

Dezimale

x = 0, x = 2.10302 \dots, x = - 2.85302 \dots

Schritte zur Lösung

240 x^{3} + 180 x^{2} - 1440 x = 0

Faktorisiere

240 x^{3} + 180 x^{2} - 1440 x : 60 x (4 x^{2} + 3 x - 24)

60 x (4 x^{2} + 3 x - 24) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 4 x^{2} + 3 x - 24 = 0

Löse

4 x^{2} + 3 x - 24 = 0 : x = \frac{- 3 + 393}{8}, x = \frac{- 3 - 393}{8}

Die Lösungen sind

x = 0, x = \frac{- 3 + 393}{8}, x = \frac{- 3 - 393}{8}

Graph

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