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Beliebt Algebra >

2x^3+9x^2+13x+6=0

Lösung

2 x^{3} + 9 x^{2} + 13 x + 6 = 0

Lösung

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

+1

Dezimale

x = - 1, x = - 1.5, x = - 2

Schritte zur Lösung

2 x^{3} + 9 x^{2} + 13 x + 6 = 0

Faktorisiere

2 x^{3} + 9 x^{2} + 13 x + 6 : (x + 1) (2 x + 3) (x + 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

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

Löse

x + 2 = 0 : x = - 2

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^{4} + 6 x^{2} + 8 = 0

4x^3+16x^2+12x=0

4 x^{3} + 16 x^{2} + 12 x = 0

(x^2-1)^2+(x^2-1)-12=0

(x^{2} - 1)^{2} + (x^{2} - 1) - 12 = 0

-x^3-3x^2+25x-21=0

- x^{3} - 3 x^{2} + 25 x - 21 = 0

x^{5} - 3 x^{3} + 1 = 0