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-x^2+14x+10=0

Lösung

x^{4} - 4 x^{3} - x^{2} + 14 x + 10 = 0

Lösung

x = - 1, x = 3 + i, x = 3 - i

Schritte zur Lösung

x^{4} - 4 x^{3} - x^{2} + 14 x + 10 = 0

Faktorisiere

x^{4} - 4 x^{3} - x^{2} + 14 x + 10 : (x + 1)^{2} (x^{2} - 6 x + 10)

(x + 1)^{2} (x^{2} - 6 x + 10) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x^{2} - 6 x + 10 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x^{2} - 6 x + 10 = 0 : x = 3 + i, x = 3 - i

Die Lösungen sind

x = - 1, x = 3 + i, x = 3 - i

Graph

Beliebte Beispiele

x^3+8x^2+12x+18=0

x^{3} + 8 x^{2} + 12 x + 18 = 0

x^3+12x^2+32x=0

x^{3} + 12 x^{2} + 32 x = 0

solvefor x,x^3-7x^2=7-x

so l v e f or x, x^{3} - 7 x^{2} = 7 - x

x^4-4x^3+4x^2-36x-45=0

x^{4} - 4 x^{3} + 4 x^{2} - 36 x - 45 = 0

12 x^{3} - 6 x^{2} = 0