de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^6+6x^3-16=0

Lösung

x^{6} + 6 x^{3} - 16 = 0

Lösung

x = 32, x = - 32 \frac{1}{2} + 32 \frac{3}{2} i, x = - 32 \frac{1}{2} - 32 \frac{3}{2} i, x = - 2, x = 1 - 3 i, x = 1 + 3 i

Schritte zur Lösung

x^{6} + 6 x^{3} - 16 = 0

Schreibe die Gleichung um mit

u = x^{3}

und

u^{2} = x^{6}

u^{2} + 6 u - 16 = 0

Löse

u^{2} + 6 u - 16 = 0 : u = 2, u = - 8

u = 2, u = - 8

Setze

u = x^{3} w i e d er e in,

löse für

x

Löse

x^{3} = 2 : x = 32, x = - 32 \frac{1}{2} + 32 \frac{3}{2} i, x = - 32 \frac{1}{2} - 32 \frac{3}{2} i

Löse

x^{3} = - 8 : x = - 2, x = 1 - 3 i, x = 1 + 3 i

Die Lösungen sind

x = 32, x = - 32 \frac{1}{2} + 32 \frac{3}{2} i, x = - 32 \frac{1}{2} - 32 \frac{3}{2} i, x = - 2, x = 1 - 3 i, x = 1 + 3 i

Graph

Beliebte Beispiele

(2t-1)^2(t+4)=0

(2 t - 1)^{2} (t + 4) = 0

solvefor y,x^2=y^3

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

2x^3+32=8x^2+8x

2 x^{3} + 32 = 8 x^{2} + 8 x

(x)=3x^3-12x^2+8x+2

(x) = 3 x^{3} - 12 x^{2} + 8 x + 2

-x^2(x-2)(2-x)=0

- x^{2} (x - 2) (2 - x) = 0