de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

16x^4+8x^2-3=0

Lösung

16 x^{4} + 8 x^{2} - 3 = 0

Lösung

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

Schritte zur Lösung

16 x^{4} + 8 x^{2} - 3 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

16 u^{2} + 8 u - 3 = 0

Löse

16 u^{2} + 8 u - 3 = 0 : u = \frac{1}{4}, u = - \frac{3}{4}

u = \frac{1}{4}, u = - \frac{3}{4}

Setze

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

löse für

x

Löse

x^{2} = \frac{1}{4} : x = \frac{1}{2}, x = - \frac{1}{2}

Löse

x^{2} = - \frac{3}{4} : x = \frac{3}{2} i, x = - \frac{3}{2} i

Die Lösungen sind

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

Graph

Beliebte Beispiele

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

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

x (x^{2} - 5 x + 14) = 0

x^3-3x^2-2x-8=0

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

10=0.2x^3+0.1x^5

10 = 0.2 x^{3} + 0.1 x^{5}

(2 - x)^{3} = 0