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Beliebt Algebra >

3x^3-4x^2+11x+10=0

Lösung

3 x^{3} - 4 x^{2} + 11 x + 10 = 0

Lösung

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

Schritte zur Lösung

3 x^{3} - 4 x^{2} + 11 x + 10 = 0

Faktorisiere

3 x^{3} - 4 x^{2} + 11 x + 10 : (3 x + 2) (x^{2} - 2 x + 5)

(3 x + 2) (x^{2} - 2 x + 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x + 2 = 0 or x^{2} - 2 x + 5 = 0

Löse

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

Löse

x^{2} - 2 x + 5 = 0 : x = 1 + 2 i, x = 1 - 2 i

Die Lösungen sind

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

Graph

Beliebte Beispiele

6x^3+2x^2+x-4=0

6 x^{3} + 2 x^{2} + x - 4 = 0

x^{3} + 6 x^{2} + 5 x = 0

x^{5} - 5 x^{4} + 1 = 0

x^{3} - x^{2} - x = - 1

x^4-3x^3-2x^2-3x+1=0

x^{4} - 3 x^{3} - 2 x^{2} - 3 x + 1 = 0