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Beliebt Algebra >

2x^3+11x^2+13x+4=0

Lösung

2 x^{3} + 11 x^{2} + 13 x + 4 = 0

Lösung

x = - 1, x = - \frac{1}{2}, x = - 4

+1

Dezimale

x = - 1, x = - 0.5, x = - 4

Schritte zur Lösung

2 x^{3} + 11 x^{2} + 13 x + 4 = 0

Faktorisiere

2 x^{3} + 11 x^{2} + 13 x + 4 : (x + 1) (2 x + 1) (x + 4)

(x + 1) (2 x + 1) (x + 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or 2 x + 1 = 0 or x + 4 = 0

Löse

x + 1 = 0 : x = - 1

Löse

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

Löse

x + 4 = 0 : x = - 4

Die Lösungen sind

x = - 1, x = - \frac{1}{2}, x = - 4

Graph

Beliebte Beispiele

z^{6} - 7 z^{3} - 8 = 0

2 y = y^{3} - y

371 = \frac{4}{3} π r^{3}

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

4/3 pir^3=4pir^2

\frac{4}{3} π r^{3} = 4 π r^{2}