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Beliebt Algebra >

4x^3-24x^2-x+6=0

Lösung

4 x^{3} - 24 x^{2} - x + 6 = 0

Lösung

x = 6, x = - \frac{1}{2}, x = \frac{1}{2}

+1

Dezimale

x = 6, x = - 0.5, x = 0.5

Schritte zur Lösung

4 x^{3} - 24 x^{2} - x + 6 = 0

Faktorisiere

4 x^{3} - 24 x^{2} - x + 6 : (x - 6) (2 x + 1) (2 x - 1)

(x - 6) (2 x + 1) (2 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 6 = 0 or 2 x + 1 = 0 or 2 x - 1 = 0

Löse

x - 6 = 0 : x = 6

Löse

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

Löse

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

Die Lösungen sind

x = 6, x = - \frac{1}{2}, x = \frac{1}{2}

Graph

Beliebte Beispiele

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