de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^6=36

Lösung

x^{6} = 36

Lösung

x = 336, x = - 336, x = 0.90856 \dots + 1.57367 \dots i, x = - 0.90856 \dots - 1.57367 \dots i, x = 0.90856 \dots - 1.57367 \dots i, x = - 0.90856 \dots + 1.57367 \dots i

Schritte zur Lösung

x^{6} = 36

Schreibe die Gleichung um mit

u = x^{2}

und

u^{3} = x^{6}

u^{3} = 36

Löse

u^{3} = 36 : u = 336, u = 336 \frac{- 1 + 3 i}{2}, u = 336 \frac{- 1 - 3 i}{2}

u = 336, u = 336 \frac{- 1 + 3 i}{2}, u = 336 \frac{- 1 - 3 i}{2}

Setze

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

löse für

x

Löse

x^{2} = 336 : x = 336, x = - 336

Löse

x^{2} = 336 \frac{- 1 + 3 i}{2} : x = 0.90856 \dots + 1.57367 \dots i, x = - 0.90856 \dots - 1.57367 \dots i

Löse

x^{2} = 336 \frac{- 1 - 3 i}{2} : x = 0.90856 \dots - 1.57367 \dots i, x = - 0.90856 \dots + 1.57367 \dots i

Die Lösungen sind

x = 336, x = - 336, x = 0.90856 \dots + 1.57367 \dots i, x = - 0.90856 \dots - 1.57367 \dots i, x = 0.90856 \dots - 1.57367 \dots i, x = - 0.90856 \dots + 1.57367 \dots i

Graph

Beliebte Beispiele

v^{3} = - 15

237537=200000(1+x)^5

237537 = 200000 (1 + x)^{5}

x^5+10x^3+20x-4=0

x^{5} + 10 x^{3} + 20 x - 4 = 0

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

x^4-4x^3+2x^2-5x+7=0

x^{4} - 4 x^{3} + 2 x^{2} - 5 x + 7 = 0