de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^4+x^2-4=0

Lösung

x^{4} + x^{2} - 4 = 0

Lösung

x = \frac{- 1 + 17}{2}, x = - \frac{- 1 + 17}{2}, x = \frac{- 1 - 17}{2}, x = - \frac{- 1 - 17}{2}

Schritte zur Lösung

x^{4} + x^{2} - 4 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} + u - 4 = 0

Löse

u^{2} + u - 4 = 0 : u = \frac{- 1 + 17}{2}, u = \frac{- 1 - 17}{2}

u = \frac{- 1 + 17}{2}, u = \frac{- 1 - 17}{2}

Setze

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

löse für

x

Löse

x^{2} = \frac{- 1 + 17}{2} : x = \frac{- 1 + 17}{2}, x = - \frac{- 1 + 17}{2}

Löse

x^{2} = \frac{- 1 - 17}{2} : x = \frac{- 1 - 17}{2}, x = - \frac{- 1 - 17}{2}

Die Lösungen sind

x = \frac{- 1 + 17}{2}, x = - \frac{- 1 + 17}{2}, x = \frac{- 1 - 17}{2}, x = - \frac{- 1 - 17}{2}

Graph

Beliebte Beispiele

7x^3+x^2-28x-4=0

7 x^{3} + x^{2} - 28 x - 4 = 0

8 x^{3} - 8 x^{2} + 1 = 0

x^{3} - 7 = 0

\frac{x ^{3}}{2} = 8

- 8 + 3 X^{3} + 2 X = 0