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

Lösung

x^{4} - x^{3} - 5 x^{2} + 3 x + 6 = 0

Lösung

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

+1

Dezimale

x = - 1, x = 2, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

x^{4} - x^{3} - 5 x^{2} + 3 x + 6 = 0

Faktorisiere

x^{4} - x^{3} - 5 x^{2} + 3 x + 6 : (x + 1) (x - 2) (x + 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

x - 2 = 0 : x = 2

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^9-x^7+x^5-x^3+x=0

x^{9} - x^{7} + x^{5} - x^{3} + x = 0

x^{4} - x^{3} - x - 1 = 0

3 x^{5} - 48 x^{3} = 0

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

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

786000=247000e^{17}

786000 = 247000 e^{17}