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Beliebt Algebra >

4x^3-12x^2-11x-2=0

Lösung

4 x^{3} - 12 x^{2} - 11 x - 2 = 0

Lösung

x = - \frac{1}{2}, x = \frac{7 + 65}{4}, x = \frac{7 - 65}{4}

+1

Dezimale

x = - 0.5, x = 3.76556 \dots, x = - 0.26556 \dots

Schritte zur Lösung

4 x^{3} - 12 x^{2} - 11 x - 2 = 0

Faktorisiere

4 x^{3} - 12 x^{2} - 11 x - 2 : (2 x + 1) (2 x^{2} - 7 x - 2)

(2 x + 1) (2 x^{2} - 7 x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x + 1 = 0 or 2 x^{2} - 7 x - 2 = 0

Löse

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

Löse

2 x^{2} - 7 x - 2 = 0 : x = \frac{7 + 65}{4}, x = \frac{7 - 65}{4}

Die Lösungen sind

x = - \frac{1}{2}, x = \frac{7 + 65}{4}, x = \frac{7 - 65}{4}

Graph

Beliebte Beispiele

x^{5} = 64 x^{2}

- 16 x - 4 x^{3} = 164

20 x^{3} + 60 x^{2} = 0

2x^3-16x^2-40x=0

2 x^{3} - 16 x^{2} - 40 x = 0

x^{3} = - 1000