de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^3-3x^2+3x-9=0

Lösung

x^{3} - 3 x^{2} + 3 x - 9 = 0

Lösung

x = 3, x = 3 i, x = - 3 i

Schritte zur Lösung

x^{3} - 3 x^{2} + 3 x - 9 = 0

Faktorisiere

x^{3} - 3 x^{2} + 3 x - 9 : (x - 3) (x^{2} + 3)

(x - 3) (x^{2} + 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or x^{2} + 3 = 0

Löse

x - 3 = 0 : x = 3

Löse

x^{2} + 3 = 0 : x = 3 i, x = - 3 i

Die Lösungen sind

x = 3, x = 3 i, x = - 3 i

Graph

Beliebte Beispiele

x^1-2x^2+x^3-3x^4=1

x^{1} - 2 x^{2} + x^{3} - 3 x^{4} = 1

(x+3)^4+(x+5)^4=16

(x + 3)^{4} + (x + 5)^{4} = 16

3x^3-8x^2+8=5x+5

3 x^{3} - 8 x^{2} + 8 = 5 x + 5

(m^4+25m^2+25)-12m^2-60m-49=0

(m^{4} + 25 m^{2} + 25) - 12 m^{2} - 60 m - 49 = 0

x^4+2x^3-8x-16=0

x^{4} + 2 x^{3} - 8 x - 16 = 0