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Beliebt Algebra >

x^3+5xx+11x=0

Lösung

x^{3} + 5 xx + 11 x = 0

Lösung

x = 0, x = - \frac{5}{2} + i \frac{19}{2}, x = - \frac{5}{2} - i \frac{19}{2}

Schritte zur Lösung

x^{3} + 5 xx + 11 x = 0

Faktorisiere

x^{3} + 5 xx + 11 x : x (x^{2} + 5 x + 11)

x (x^{2} + 5 x + 11) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + 5 x + 11 = 0

Löse

x^{2} + 5 x + 11 = 0 : x = - \frac{5}{2} + i \frac{19}{2}, x = - \frac{5}{2} - i \frac{19}{2}

Die Lösungen sind

x = 0, x = - \frac{5}{2} + i \frac{19}{2}, x = - \frac{5}{2} - i \frac{19}{2}

Graph

Beliebte Beispiele

9a^3-441a=-4a^2+196

9 a^{3} - 441 a = - 4 a^{2} + 196

(2-i)/(1+2i)*z^4=1

\frac{2 - i}{1 + 2 i} \cdot z^{4} = 1

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

x^3-40x^2+404x-80=0

x^{3} - 40 x^{2} + 404 x - 80 = 0

(x+2)(x+3)(x+8)(x+12)=54x^2

(x + 2) (x + 3) (x + 8) (x + 12) = 54 x^{2}