de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

(x^2+x)^2-18(x^2+x)+72=0

Lösung

(x^{2} + x)^{2} - 18 (x^{2} + x) + 72 = 0

Lösung

x = 2, x = - 4, x = - 3, x = 3

Schritte zur Lösung

(x^{2} + x)^{2} - 18 (x^{2} + x) + 72 = 0

Schreibe

(x^{2} + x)^{2} - 18 (x^{2} + x) + 72

um:

x^{4} + 2 x^{3} - 17 x^{2} - 18 x + 72

x^{4} + 2 x^{3} - 17 x^{2} - 18 x + 72 = 0

Faktorisiere

x^{4} + 2 x^{3} - 17 x^{2} - 18 x + 72 : (x - 2) (x + 4) (x + 3) (x - 3)

(x - 2) (x + 4) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 2 = 0 : x = 2

Löse

x + 4 = 0 : x = - 4

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = 2, x = - 4, x = - 3, x = 3

Graph

Beliebte Beispiele

(w-3)(w^2+3w+9)=2

(w - 3) (w^{2} + 3 w + 9) = 2

x^6-5x^4+6x^2-1=0

x^{6} - 5 x^{4} + 6 x^{2} - 1 = 0

-x^3-11x^2-39x-45=0

- x^{3} - 11 x^{2} - 39 x - 45 = 0

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

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

m^3-6m^2+12m-8=0

m^{3} - 6 m^{2} + 12 m - 8 = 0