de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

4x-4x^9=0

Lösung

4 x - 4 x^{9} = 0

Lösung

x = 0, x = - \frac{2}{2} + i \frac{2}{2}, x = - \frac{2}{2} - i \frac{2}{2}, x = \frac{2}{2} + i \frac{2}{2}, x = \frac{2}{2} - i \frac{2}{2}, x = i, x = - i, x = - 1, x = 1

Schritte zur Lösung

4 x - 4 x^{9} = 0

Faktorisiere

4 x - 4 x^{9} : - 4 x (x^{2} + 2 x + 1) (x^{2} - 2 x + 1) (x^{2} + 1) (x + 1) (x - 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + 2 x + 1 = 0 or x^{2} - 2 x + 1 = 0 or x^{2} + 1 = 0 or x + 1 = 0 or x - 1 = 0

Löse

x^{2} + 2 x + 1 = 0 : x = - \frac{2}{2} + i \frac{2}{2}, x = - \frac{2}{2} - i \frac{2}{2}

Löse

x^{2} - 2 x + 1 = 0 : x = \frac{2}{2} + i \frac{2}{2}, x = \frac{2}{2} - i \frac{2}{2}

Löse

x^{2} + 1 = 0 : x = i, x = - i

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Die Lösungen sind

x = 0, x = - \frac{2}{2} + i \frac{2}{2}, x = - \frac{2}{2} - i \frac{2}{2}, x = \frac{2}{2} + i \frac{2}{2}, x = \frac{2}{2} - i \frac{2}{2}, x = i, x = - i, x = - 1, x = 1

Graph

Beliebte Beispiele

solvefor y,(x^2+y^2)^2=x^2-y^2

so l v e f or y, (x^{2} + y^{2})^{2} = x^{2} - y^{2}

wurzeln von x^3-x^2-x+1=0

roo t s x^{3} - x^{2} - x + 1 = 0

3x^5-8x^4+2x^3+5x^2-2x+1=0

3 x^{5} - 8 x^{4} + 2 x^{3} + 5 x^{2} - 2 x + 1 = 0

2 x^{3} - 6 x + 4 = 0

x^4+9x^3+23x^2+3x-36=0

x^{4} + 9 x^{3} + 23 x^{2} + 3 x - 36 = 0