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Beliebt Algebra >

4x^3-2x^2-4x-1=0

Lösung

4 x^{3} - 2 x^{2} - 4 x - 1 = 0

Lösung

x = - \frac{1}{2}, x = \frac{1 + 3}{2}, x = \frac{1 - 3}{2}

+1

Dezimale

x = - 0.5, x = 1.36602 \dots, x = - 0.36602 \dots

Schritte zur Lösung

4 x^{3} - 2 x^{2} - 4 x - 1 = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

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

Die Lösungen sind

x = - \frac{1}{2}, x = \frac{1 + 3}{2}, x = \frac{1 - 3}{2}

Graph

Beliebte Beispiele

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