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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = 1.5, x = - 2, x = 2

Schritte zur Lösung

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

Faktorisiere

2 x^{3} - 3 x^{2} - 8 x + 12 : (2 x - 3) (x + 2) (x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

2 x - 3 = 0 : x = \frac{3}{2}

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^{3} = x + 8

2 x^{4} + 17 x^{2} - 9 = 0

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

8 x^{5} - 72 x = 0

x^{5} - x^{3} - 2 x + 1 = 0