de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

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

Lösung

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

Lösung

x = - 1, x = 2, x = 1

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x - 2 = 0 or x - 1 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x - 2 = 0 : x = 2

Löse

x - 1 = 0 : x = 1

Die Lösungen sind

x = - 1, x = 2, x = 1

Graph

Beliebte Beispiele

x^5-4x^4-12x^3=0

x^{5} - 4 x^{4} - 12 x^{3} = 0

x^{3} - 21 x - 90 = 0

solvefor x,x^3+y^2=64

so l v e f or x, x^{3} + y^{2} = 64

- x^{3} + x^{2} = 0

x^3+x^2-4.99x+3.03=0

x^{3} + x^{2} - 4.99 x + 3.03 = 0