de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

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

Lösung

x^{3} - 2 x^{2} + 2 x - 1 = 0

Lösung

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

Schritte zur Lösung

x^{3} - 2 x^{2} + 2 x - 1 = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

x^{2} - x + 1 = 0 : x = \frac{1}{2} + i \frac{3}{2}, x = \frac{1}{2} - i \frac{3}{2}

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^4+2x^3-26x^2-50x+25=0

x^{4} + 2 x^{3} - 26 x^{2} - 50 x + 25 = 0

x^{3} + 6 x^{2} - 7 x = 0

x^{3} = 81 x

x^{3} - 5 x = 15 x^{2}

6x^4-25x^3+12x^2+25x+6=0

6 x^{4} - 25 x^{3} + 12 x^{2} + 25 x + 6 = 0