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Beliebt Algebra >

2x^3+x^2-13x+6=0

Lösung

2 x^{3} + x^{2} - 13 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} + x^{2} - 13 x + 6 = 0

Faktorisiere

2 x^{3} + x^{2} - 13 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

y^{4} = 2 - y^{2}

5x^4-10x^3+5x^2=0

5 x^{4} - 10 x^{3} + 5 x^{2} = 0

(x - 5)^{3} = 216

z^{8} - 2 z^{4} + 1 = 0

64 - 27 x^{3} = 0