de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Faktorisiere

2 x^{5} - x^{4} - 2 x + 1 : (2 x - 1) (x^{2} + 1) (x + 1) (x - 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Löse

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

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^{3} - 11 x + 6 = 0

100 (1 + r)^{4} = 84

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

- x^{3} + 3 = 0

(2-x)^3-(2-x)=0

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