de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^4-5x^2-44=0

Lösung

x^{4} - 5 x^{2} - 44 = 0

Lösung

x = \frac{5 + 201}{2}, x = - \frac{5 + 201}{2}, x = \frac{5 - 201}{2}, x = - \frac{5 - 201}{2}

Schritte zur Lösung

x^{4} - 5 x^{2} - 44 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 5 u - 44 = 0

Löse

u^{2} - 5 u - 44 = 0 : u = \frac{5 + 201}{2}, u = \frac{5 - 201}{2}

u = \frac{5 + 201}{2}, u = \frac{5 - 201}{2}

Setze

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

löse für

x

Löse

x^{2} = \frac{5 + 201}{2} : x = \frac{5 + 201}{2}, x = - \frac{5 + 201}{2}

Löse

x^{2} = \frac{5 - 201}{2} : x = \frac{5 - 201}{2}, x = - \frac{5 - 201}{2}

Die Lösungen sind

x = \frac{5 + 201}{2}, x = - \frac{5 + 201}{2}, x = \frac{5 - 201}{2}, x = - \frac{5 - 201}{2}

Graph

Beliebte Beispiele

(x - 5)^{3} = 1

(x-5)^4-(5-x)^2=0

(x - 5)^{4} - (5 - x)^{2} = 0

x^{4} - 5 x^{2} = 4

t^{3} + 2 t = 400

9 x - x^{3} = 0