de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

5x^5-44x^3-9x=0

Lösung

5 x^{5} - 44 x^{3} - 9 x = 0

Lösung

x = 0, x = \frac{1}{5} i, x = - \frac{1}{5} i, x = - 3, x = 3

Schritte zur Lösung

5 x^{5} - 44 x^{3} - 9 x = 0

Faktorisiere

5 x^{5} - 44 x^{3} - 9 x : x (5 x^{2} + 1) (x + 3) (x - 3)

x (5 x^{2} + 1) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 5 x^{2} + 1 = 0 or x + 3 = 0 or x - 3 = 0

Löse

5 x^{2} + 1 = 0 : x = \frac{1}{5} i, x = - \frac{1}{5} i

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = 0, x = \frac{1}{5} i, x = - \frac{1}{5} i, x = - 3, x = 3

Graph

Beliebte Beispiele

1 x^{4} - 7^{2} x - 4 = 0

x^{4} = \frac{1}{4}

p^3-7p^2-4p=-28

p^{3} - 7 p^{2} - 4 p = - 28

x=524x^3-2x^2-70x-75

x = 524 x^{3} - 2 x^{2} - 70 x - 75

x^{3} + 3 = 0