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Beliebt Algebra >

x^3+3x^2+x+3=0

Lösung

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

Lösung

x = - 3, x = i, x = - i

Schritte zur Lösung

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

Faktorisiere

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

(x + 3) (x^{2} + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 3 = 0 or x^{2} + 1 = 0

Löse

x + 3 = 0 : x = - 3

Löse

x^{2} + 1 = 0 : x = i, x = - i

Die Lösungen sind

x = - 3, x = i, x = - i

Graph

Beliebte Beispiele

t^3-6t^2-36t-40=0

t^{3} - 6 t^{2} - 36 t - 40 = 0

x^3+13x^2+30x=0

x^{3} + 13 x^{2} + 30 x = 0

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

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

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

125 = x^{3}