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Beliebt Algebra >

16x^3+96x^2-x-6=0

Lösung

16 x^{3} + 96 x^{2} - x - 6 = 0

Lösung

x = - 6, x = - \frac{1}{4}, x = \frac{1}{4}

+1

Dezimale

x = - 6, x = - 0.25, x = 0.25

Schritte zur Lösung

16 x^{3} + 96 x^{2} - x - 6 = 0

Faktorisiere

16 x^{3} + 96 x^{2} - x - 6 : (x + 6) (4 x + 1) (4 x - 1)

(x + 6) (4 x + 1) (4 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 6 = 0 or 4 x + 1 = 0 or 4 x - 1 = 0

Löse

x + 6 = 0 : x = - 6

Löse

4 x + 1 = 0 : x = - \frac{1}{4}

Löse

4 x - 1 = 0 : x = \frac{1}{4}

Die Lösungen sind

x = - 6, x = - \frac{1}{4}, x = \frac{1}{4}

Graph

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