de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

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

Lösung

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

Lösung

x = - 2, x = \frac{1}{2} + i \frac{11}{2}, x = \frac{1}{2} - i \frac{11}{2}

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 2 = 0 : x = - 2

Löse

x^{2} - x + 3 = 0 : x = \frac{1}{2} + i \frac{11}{2}, x = \frac{1}{2} - i \frac{11}{2}

Die Lösungen sind

x = - 2, x = \frac{1}{2} + i \frac{11}{2}, x = \frac{1}{2} - i \frac{11}{2}

Graph

Beliebte Beispiele

x^{5} = x^{3}

5 x^{2} + 2 x^{3} = 441

19 - x^{2} x = - 5

4 x^{2} (x + 9) = 0

2^{6} = x^{3}