de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

2x^4+6x^3-8x^2-24x=0

Lösung

2 x^{4} + 6 x^{3} - 8 x^{2} - 24 x = 0

Lösung

x = 0, x = - 3, x = - 2, x = 2

Schritte zur Lösung

2 x^{4} + 6 x^{3} - 8 x^{2} - 24 x = 0

Faktorisiere

2 x^{4} + 6 x^{3} - 8 x^{2} - 24 x : 2 x (x + 3) (x + 2) (x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 3 = 0 : x = - 3

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = 0, x = - 3, x = - 2, x = 2

Graph

Beliebte Beispiele

2 x (x^{3} - 216) = 0

x^4+2x^3-14x^2+2x+1=0

x^{4} + 2 x^{3} - 14 x^{2} + 2 x + 1 = 0

solvefor x,x^4+y^4=2

so l v e f or x, x^{4} + y^{4} = 2

125000(x)^6=165000

125000 (x)^{6} = 165000

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

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