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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

x^{4} - 6 x = 0

2n^3-n^2-136n=0

2 n^{3} - n^{2} - 136 n = 0

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

1024 = r^{5}

x^3-2x^2-15x+36=0

x^{3} - 2 x^{2} - 15 x + 36 = 0