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Beliebt Algebra >

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

Lösung

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

Lösung

x = - 3, x = \frac{1}{2} + i \frac{7}{2}, x = \frac{1}{2} - i \frac{7}{2}

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 3 = 0 : x = - 3

Löse

x^{2} - x + 2 = 0 : x = \frac{1}{2} + i \frac{7}{2}, x = \frac{1}{2} - i \frac{7}{2}

Die Lösungen sind

x = - 3, x = \frac{1}{2} + i \frac{7}{2}, x = \frac{1}{2} - i \frac{7}{2}

Graph

Beliebte Beispiele

x^1-2x^2+3x^3=11

x^{1} - 2 x^{2} + 3 x^{3} = 11

x^{3} = \frac{4}{3}

y^{3} + (- 6) = - 9

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

z^{3} - 3 z^{2} + z + 5 = 0