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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = 2, x = - 0.70710 \dots, x = 0.70710 \dots

Schritte zur Lösung

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

Faktorisiere

2 x^{3} - 4 x^{2} - x + 2 : (x - 2) (2 x + 1) (2 x - 1)

(x - 2) (2 x + 1) (2 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 2 = 0 or 2 x + 1 = 0 or 2 x - 1 = 0

Löse

x - 2 = 0 : x = 2

Löse

2 x + 1 = 0 : x = - \frac{1}{2}

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Die Lösungen sind

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

Graph

Beliebte Beispiele

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