de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

9x^4+45x^2+14=0

Lösung

9 x^{4} + 45 x^{2} + 14 = 0

Lösung

x = \frac{1}{3} i, x = - \frac{1}{3} i, x = \frac{14}{3} i, x = - \frac{14}{3} i

Schritte zur Lösung

9 x^{4} + 45 x^{2} + 14 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

9 u^{2} + 45 u + 14 = 0

Löse

9 u^{2} + 45 u + 14 = 0 : u = - \frac{1}{3}, u = - \frac{14}{3}

u = - \frac{1}{3}, u = - \frac{14}{3}

Setze

u = x^{2} w i e d er e in,

löse für

x

Löse

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

Löse

x^{2} = - \frac{14}{3} : x = \frac{14}{3} i, x = - \frac{14}{3} i

Die Lösungen sind

x = \frac{1}{3} i, x = - \frac{1}{3} i, x = \frac{14}{3} i, x = - \frac{14}{3} i

Graph

Beliebte Beispiele

x(x^3-x^2)-4x^2-x^1=0

x (x^{3} - x^{2}) - 4 x^{2} - x^{1} = 0

418.879=6t+0.11667t^3

418.879 = 6 t + 0.11667 t^{3}

4 x^{4} = 2048 x

x^4-6x^3+x^2-6x+1=0

x^{4} - 6 x^{3} + x^{2} - 6 x + 1 = 0

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