de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^4-x^3-7x^2+x+6=0

Lösung

x^{4} - x^{3} - 7 x^{2} + x + 6 = 0

Lösung

x = - 1, x = 1, x = - 2, x = 3

Schritte zur Lösung

x^{4} - x^{3} - 7 x^{2} + x + 6 = 0

Faktorisiere

x^{4} - x^{3} - 7 x^{2} + x + 6 : (x + 1) (x - 1) (x + 2) (x - 3)

(x + 1) (x - 1) (x + 2) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Löse

x + 2 = 0 : x = - 2

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = - 1, x = 1, x = - 2, x = 3

Graph

Beliebte Beispiele

0 = x^{4} - 8 x^{2} - 9

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

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

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

x^{4} - 5 x^{2} - 14 = 0

x^{3} - 4 x^{2} - 59 = 0