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Beliebt Algebra >

2x^3-5x+3=0

Lösung

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

Lösung

x = 1, x = \frac{- 1 + 7}{2}, x = - \frac{1 + 7}{2}

+1

Dezimale

x = 1, x = 0.82287 \dots, x = - 1.82287 \dots

Schritte zur Lösung

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

Faktorisiere

2 x^{3} - 5 x + 3 : (x - 1) (2 x^{2} + 2 x - 3)

(x - 1) (2 x^{2} + 2 x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

2 x^{2} + 2 x - 3 = 0 : x = \frac{- 1 + 7}{2}, x = - \frac{1 + 7}{2}

Die Lösungen sind

x = 1, x = \frac{- 1 + 7}{2}, x = - \frac{1 + 7}{2}

Graph

Beliebte Beispiele

x^{5} = 100 x^{3}

x^{3} - 2 x^{2} + 7 = 0

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3x^3-4x^2-2x+4=0

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