de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

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

Lösung

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

Lösung

x = - 1, x = \frac{1}{2} - \frac{3}{2} i, x = \frac{1}{2} + \frac{3}{2} i, x = - 32, x = \frac{3 2}{2} - i \frac{3 2 3}{2}, x = \frac{3 2}{2} + i \frac{3 2 3}{2}

Schritte zur Lösung

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

Schreibe die Gleichung um mit

u = x^{3}

und

u^{2} = x^{6}

u^{2} + 3 u + 2 = 0

Löse

u^{2} + 3 u + 2 = 0 : u = - 1, u = - 2

u = - 1, u = - 2

Setze

u = x^{3} w i e d er e in,

löse für

x

Löse

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

Löse

x^{3} = - 2 : x = - 32, x = \frac{3 2}{2} - i \frac{3 2 3}{2}, x = \frac{3 2}{2} + i \frac{3 2 3}{2}

Die Lösungen sind

x = - 1, x = \frac{1}{2} - \frac{3}{2} i, x = \frac{1}{2} + \frac{3}{2} i, x = - 32, x = \frac{3 2}{2} - i \frac{3 2 3}{2}, x = \frac{3 2}{2} + i \frac{3 2 3}{2}

Graph

Beliebte Beispiele

-4x^5+6x^4+4x^3-6x^2=0

- 4 x^{5} + 6 x^{4} + 4 x^{3} - 6 x^{2} = 0

4 b^{3} + 1 = 1

6 x^{3} = 7 x^{2}

x^{5} + 243 = 0

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