de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

2x^3-x-1=0

Lösung

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

Lösung

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

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

36x-6x^2-2x^3=0

36 x - 6 x^{2} - 2 x^{3} = 0

- 15 x^{4} + 15 x^{2} = 0

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

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

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

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

(x - 5)^{4} - 80 = 0