de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

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

Lösung

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

Lösung

x = 0, x = 4, x = i, x = - i

Schritte zur Lösung

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

Faktorisiere

- x^{5} + 4 x^{4} - x^{3} + 4 x^{2} : - x^{2} (x - 4) (x^{2} + 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x - 4 = 0 or x^{2} + 1 = 0

Löse

x - 4 = 0 : x = 4

Löse

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

Die Lösungen sind

x = 0, x = 4, x = i, x = - i

Graph

Beliebte Beispiele

x^3-11x^2+30x=0

x^{3} - 11 x^{2} + 30 x = 0

x^{6} + 4 x^{3} + 16 = 0

(x-7)(x^2-36)=0

(x - 7) (x^{2} - 36) = 0

x^3-x^2-22x+40=0

x^{3} - x^{2} - 22 x + 40 = 0

k^{3} + 4 = - 16