de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^6-124x^3-125=0

Lösung

x^{6} - 124 x^{3} - 125 = 0

Lösung

x = 5, x = - \frac{5}{2} + \frac{5 3}{2} i, x = - \frac{5}{2} - \frac{5 3}{2} i, x = - 1, x = \frac{1}{2} - \frac{3}{2} i, x = \frac{1}{2} + \frac{3}{2} i

Schritte zur Lösung

x^{6} - 124 x^{3} - 125 = 0

Schreibe die Gleichung um mit

u = x^{3}

und

u^{2} = x^{6}

u^{2} - 124 u - 125 = 0

Löse

u^{2} - 124 u - 125 = 0 : u = 125, u = - 1

u = 125, u = - 1

Setze

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

löse für

x

Löse

x^{3} = 125 : x = 5, x = - \frac{5}{2} + \frac{5 3}{2} i, x = - \frac{5}{2} - \frac{5 3}{2} i

Löse

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

Die Lösungen sind

x = 5, x = - \frac{5}{2} + \frac{5 3}{2} i, x = - \frac{5}{2} - \frac{5 3}{2} i, x = - 1, x = \frac{1}{2} - \frac{3}{2} i, x = \frac{1}{2} + \frac{3}{2} i

Graph

Beliebte Beispiele

216 x = 6 x^{3}

x^3+x^2-25x-25=0

x^{3} + x^{2} - 25 x - 25 = 0

x^3-5x^2+7x-3=0

x^{3} - 5 x^{2} + 7 x - 3 = 0

x^{5} - 7 x^{2} = 0

4x^4+25x^2+36=0

4 x^{4} + 25 x^{2} + 36 = 0