de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^3-6x^2+6x-5=0

Lösung

x^{3} - 6 x^{2} + 6 x - 5 = 0

Lösung

x = 5, x = \frac{1}{2} + i \frac{3}{2}, x = \frac{1}{2} - i \frac{3}{2}

Schritte zur Lösung

x^{3} - 6 x^{2} + 6 x - 5 = 0

Faktorisiere

x^{3} - 6 x^{2} + 6 x - 5 : (x - 5) (x^{2} - x + 1)

(x - 5) (x^{2} - x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 5 = 0 or x^{2} - x + 1 = 0

Löse

x - 5 = 0 : x = 5

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 = 5, x = \frac{1}{2} + i \frac{3}{2}, x = \frac{1}{2} - i \frac{3}{2}

Graph

Beliebte Beispiele

x^3-x^2-75/8 =0

x^{3} - x^{2} - \frac{75}{8} = 0

1400=1000*(1+x)^3

1400 = 1000 \cdot (1 + x)^{3}

2x^3-5x^2-5x-1=0

2 x^{3} - 5 x^{2} - 5 x - 1 = 0

2x^5-5x^4+10x^2-10x+1=0

2 x^{5} - 5 x^{4} + 10 x^{2} - 10 x + 1 = 0

x \cdot x \cdot x = 0.5