de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^2x^6=256

Lösung

x^{2} x^{6} = 256

Lösung

x = 2, x = - 2, x = 2 i, x = - 2 i, x = 2 + 2 i, x = - 2 - 2 i, x = 2 - 2 i, x = - 2 + 2 i

Schritte zur Lösung

x^{2} x^{6} = 256

Vereinfache

x^{8} = 256

Schreibe die Gleichung um mit

u = x^{2}

und

u^{4} = x^{8}

u^{4} = 256

Löse

u^{4} = 256 : u = 4, u = - 4, u = 4 i, u = - 4 i

u = 4, u = - 4, u = 4 i, u = - 4 i

Setze

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

löse für

x

Löse

x^{2} = 4 : x = 2, x = - 2

Löse

x^{2} = - 4 : x = 2 i, x = - 2 i

Löse

x^{2} = 4 i : x = 2 + 2 i, x = - 2 - 2 i

Löse

x^{2} = - 4 i : x = 2 - 2 i, x = - 2 + 2 i

Die Lösungen sind

x = 2, x = - 2, x = 2 i, x = - 2 i, x = 2 + 2 i, x = - 2 - 2 i, x = 2 - 2 i, x = - 2 + 2 i

Graph

Beliebte Beispiele

x^4-27x^2+176=0

x^{4} - 27 x^{2} + 176 = 0

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

x^3+4x^2-29x+24=0

x^{3} + 4 x^{2} - 29 x + 24 = 0

4 x^{3} = 3 x^{2}

(x+2)(5x^2+9)(x^2+3)=0

(x + 2) (5 x^{2} + 9) (x^{2} + 3) = 0