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Beliebt Algebra >

2x^3-5x^2-9x+18=0

Lösung

2 x^{3} - 5 x^{2} - 9 x + 18 = 0

Lösung

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

+1

Dezimale

x = - 2, x = 1.5, x = 3

Schritte zur Lösung

2 x^{3} - 5 x^{2} - 9 x + 18 = 0

Faktorisiere

2 x^{3} - 5 x^{2} - 9 x + 18 : (x + 2) (2 x - 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 2 = 0 : x = - 2

Löse

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

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

5 x^{4} - 20 x^{2} = 0

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

x (x^{2} + 3 x - 10) = 0

2 x - 3 = x^{3} - 5

6x^3-5x^2+7x-2=0

6 x^{3} - 5 x^{2} + 7 x - 2 = 0