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Beliebt Algebra >

2x^3-19x^2+8x+9=0

Lösung

2 x^{3} - 19 x^{2} + 8 x + 9 = 0

Lösung

x = 1, x = - \frac{1}{2}, x = 9

+1

Dezimale

x = 1, x = - 0.5, x = 9

Schritte zur Lösung

2 x^{3} - 19 x^{2} + 8 x + 9 = 0

Faktorisiere

2 x^{3} - 19 x^{2} + 8 x + 9 : (x - 1) (2 x + 1) (x - 9)

(x - 1) (2 x + 1) (x - 9) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or 2 x + 1 = 0 or x - 9 = 0

Löse

x - 1 = 0 : x = 1

Löse

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

Löse

x - 9 = 0 : x = 9

Die Lösungen sind

x = 1, x = - \frac{1}{2}, x = 9

Graph

Beliebte Beispiele

y^{3} - 49 y = 0

x^{4} + 8 x^{2} - 48 = 0

3y^3-14y^2-5y=0

3 y^{3} - 14 y^{2} - 5 y = 0

n^{3} = 0.008

-15x^1+6x^2-10x^3=-12

- 15 x^{1} + 6 x^{2} - 10 x^{3} = - 12