de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^4-128x^2-8192x-61440=0

Lösung

x^{4} - 128 \cdot x^{2} - 8192 \cdot x - 61440 = 0

Lösung

x = - 8, x = 24, x = - 8 + 16 i, x = - 8 - 16 i

Schritte zur Lösung

x^{4} - 128 x^{2} - 8192 x - 61440 = 0

Faktorisiere

x^{4} - 128 x^{2} - 8192 x - 61440 : (x + 8) (x - 24) (x^{2} + 16 x + 320)

(x + 8) (x - 24) (x^{2} + 16 x + 320) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 8 = 0 or x - 24 = 0 or x^{2} + 16 x + 320 = 0

Löse

x + 8 = 0 : x = - 8

Löse

x - 24 = 0 : x = 24

Löse

x^{2} + 16 x + 320 = 0 : x = - 8 + 16 i, x = - 8 - 16 i

Die Lösungen sind

x = - 8, x = 24, x = - 8 + 16 i, x = - 8 - 16 i

Graph

Beliebte Beispiele

6 x^{3} - 5 x - 1 = 0

x^4-5x^3+6x^2+4x-8=0

x^{4} - 5 x^{3} + 6 x^{2} + 4 x - 8 = 0

8x^4+10x^2-12=0

8 x^{4} + 10 x^{2} - 12 = 0

w^{3} = 27

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

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