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^2-1=0

Lösung

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

Lösung

x = 1, x = - \frac{1}{4} + i \frac{7}{4}, x = - \frac{1}{4} - i \frac{7}{4}

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

2 x^{2} + x + 1 = 0 : x = - \frac{1}{4} + i \frac{7}{4}, x = - \frac{1}{4} - i \frac{7}{4}

Die Lösungen sind

x = 1, x = - \frac{1}{4} + i \frac{7}{4}, x = - \frac{1}{4} - i \frac{7}{4}

Graph

Beliebte Beispiele

x^{4} - 65 x^{2} + 64 = 0

m^{3} = 8

n^{3} = 216

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

2x^3-7x^2+7x-2=0

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