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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

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

Schritte zur Lösung

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

Faktorisiere

2 x^{3} - x^{2} - 18 x + 9 : (2 x - 1) (x + 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

-x^3+5x^2-8x+4=0

- x^{3} + 5 x^{2} - 8 x + 4 = 0

x^{4} = 625

20=[5+(0.12x)/(10)]^{20}

20 = [5 + \frac{0.12 x}{10}]^{20}

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

x^{4} - 3 x^{2} + 1 = 0