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Beliebt Algebra >

2x^3+9x^2+10x+3=0

Lösung

2 x^{3} + 9 x^{2} + 10 x + 3 = 0

Lösung

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

+1

Dezimale

x = - 1, x = - 0.5, x = - 3

Schritte zur Lösung

2 x^{3} + 9 x^{2} + 10 x + 3 = 0

Faktorisiere

2 x^{3} + 9 x^{2} + 10 x + 3 : (x + 1) (2 x + 1) (x + 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

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

Löse

x + 3 = 0 : x = - 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

- 5 x^{3} = 180 x

4x^3+12x^2+8x=0

4 x^{3} + 12 x^{2} + 8 x = 0

x^{3} - 8 x^{2} = 0

x(x+2)(x+4)(x+6)=3465

x (x + 2) (x + 4) (x + 6) = 3465

16x^3+96x^2-x-6=0

16 x^{3} + 96 x^{2} - x - 6 = 0