de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^4+4x^3-8x=0

Lösung

x^{4} + 4 x^{3} - 8 x = 0

Lösung

x = 0, x = - 2, x = - 1 + 5, x = - 1 - 5

+1

Dezimale

x = 0, x = - 2, x = 1.23606 \dots, x = - 3.23606 \dots

Schritte zur Lösung

x^{4} + 4 x^{3} - 8 x = 0

Faktorisiere

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

x (x + 2) (x^{2} + 2 x - 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 2 = 0 : x = - 2

Löse

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

Die Lösungen sind

x = 0, x = - 2, x = - 1 + 5, x = - 1 - 5

Graph

Beliebte Beispiele

24x^4+16x^3-3x-2=0

24 x^{4} + 16 x^{3} - 3 x - 2 = 0

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

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

x^{4} x + 8 = 8 x + 16

2x^5-12x^3=-16x

2 x^{5} - 12 x^{3} = - 16 x

-λ^3-13λ^2-56λ-80=0

- λ^{3} - 13 λ^{2} - 56 λ - 80 = 0