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Beliebt Algebra >

2x^3-3x^2-11x+6=0

Lösung

2 x^{3} - 3 x^{2} - 11 x + 6 = 0

Lösung

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

+1

Dezimale

x = - 2, x = 0.5, x = 3

Schritte zur Lösung

2 x^{3} - 3 x^{2} - 11 x + 6 = 0

Faktorisiere

2 x^{3} - 3 x^{2} - 11 x + 6 : (x + 2) (2 x - 1) (x - 3)

(x + 2) (2 x - 1) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or 2 x - 1 = 0 or x - 3 = 0

Löse

x + 2 = 0 : x = - 2

Löse

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

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^{6} + 7 x^{3} - 8 = 0

z^{5} - 32 i = 0

x^{3} = 512

3 t^{3} - 3 t^{2} + 4 = 0

12x^3+8x^2-x-1=0

12 x^{3} + 8 x^{2} - x - 1 = 0