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Beliebt Algebra >

x^3+5x+6=0

Lösung

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

Lösung

x = - 1, x = \frac{1}{2} + i \frac{23}{2}, x = \frac{1}{2} - i \frac{23}{2}

Schritte zur Lösung

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

Faktorisiere

x^{3} + 5 x + 6 : (x + 1) (x^{2} - x + 6)

(x + 1) (x^{2} - x + 6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x^{2} - x + 6 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x^{2} - x + 6 = 0 : x = \frac{1}{2} + i \frac{23}{2}, x = \frac{1}{2} - i \frac{23}{2}

Die Lösungen sind

x = - 1, x = \frac{1}{2} + i \frac{23}{2}, x = \frac{1}{2} - i \frac{23}{2}

Graph

Beliebte Beispiele

x^4-6x^3+13x^2-12x+4=0

x^{4} - 6 x^{3} + 13 x^{2} - 12 x + 4 = 0

x^3-6x^2+7x+4=0

x^{3} - 6 x^{2} + 7 x + 4 = 0

x^{3} = 0.027

d^{5} + 27 d^{2} = 0

40x^3-36x^2-14=0

40 x^{3} - 36 x^{2} - 14 = 0