de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

a^8=3

Lösung

a^{8} = 3

Lösung

a = 43, a = - 43, a = 43 i, a = - 43 i, a = \frac{4 3}{2} + \frac{8 3}{2} i, a = - \frac{4 3}{2} - \frac{8 3}{2} i, a = \frac{4 3}{2} - \frac{8 3}{2} i, a = - \frac{4 3}{2} + \frac{8 3}{2} i

Schritte zur Lösung

a^{8} = 3

Schreibe die Gleichung um mit

u = a^{2}

und

u^{4} = a^{8}

u^{4} = 3

Löse

u^{4} = 3 : u = 3, u = - 3, u = 3 i, u = - 3 i

u = 3, u = - 3, u = 3 i, u = - 3 i

Setze

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

löse für

a

Löse

a^{2} = 3 : a = 43, a = - 43

Löse

a^{2} = - 3 : a = 43 i, a = - 43 i

Löse

a^{2} = 3 i : a = \frac{4 3}{2} + \frac{8 3}{2} i, a = - \frac{4 3}{2} - \frac{8 3}{2} i

Löse

a^{2} = - 3 i : a = \frac{4 3}{2} - \frac{8 3}{2} i, a = - \frac{4 3}{2} + \frac{8 3}{2} i

Die Lösungen sind

a = 43, a = - 43, a = 43 i, a = - 43 i, a = \frac{4 3}{2} + \frac{8 3}{2} i, a = - \frac{4 3}{2} - \frac{8 3}{2} i, a = \frac{4 3}{2} - \frac{8 3}{2} i, a = - \frac{4 3}{2} + \frac{8 3}{2} i

Graph

Beliebte Beispiele

x^{3} = x^{2} + 1

solvefor x,0=-25x^4+9x^2

so l v e f or x, 0 = - 25 x^{4} + 9 x^{2}

solvefor x,y+x^3=2

so l v e f or x, y + x^{3} = 2

2 x^{5} + 64 = 0

(x + 6)^{3} + 27 = 0