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Beliebt Algebra >

2x^3-x+1=0

Lösung

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

Lösung

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

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

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