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Beliebt Algebra >

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

Lösung

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

Lösung

x = 0, x = - \frac{1}{2} + i \frac{47}{2}, x = - \frac{1}{2} - i \frac{47}{2}

Schritte zur Lösung

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

Faktorisiere

x^{3} + x^{2} + 12 x : x (x^{2} + x + 12)

x (x^{2} + x + 12) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + x + 12 = 0

Löse

x^{2} + x + 12 = 0 : x = - \frac{1}{2} + i \frac{47}{2}, x = - \frac{1}{2} - i \frac{47}{2}

Die Lösungen sind

x = 0, x = - \frac{1}{2} + i \frac{47}{2}, x = - \frac{1}{2} - i \frac{47}{2}

Graph

Beliebte Beispiele

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

x^3-5x^2+4x=x(x-4)

x^{3} - 5 x^{2} + 4 x = x (x - 4)

x^{2} = x^{5}

2x^3-10x^2-12x=0

2 x^{3} - 10 x^{2} - 12 x = 0

4 x^{3} = 68