de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

4x^7-64x^3=0

Lösung

4 x^{7} - 64 x^{3} = 0

Lösung

x = 0, x = 2 i, x = - 2 i, x = - 2, x = 2

Schritte zur Lösung

4 x^{7} - 64 x^{3} = 0

Faktorisiere

4 x^{7} - 64 x^{3} : 4 x^{3} (x^{2} + 4) (x + 2) (x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = 0, x = 2 i, x = - 2 i, x = - 2, x = 2

Graph

Beliebte Beispiele

5t^4+15t^2+50=0

5 t^{4} + 15 t^{2} + 50 = 0

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

4 x^{3} + 24 x + 36 = 0

x^{3} = 76

2x^3-x^2-22x-24=0

2 x^{3} - x^{2} - 22 x - 24 = 0