de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

((x-2)^2)^2-2(x-2)^2=0

Lösung

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

Lösung

x = 2, x = 2 - 2, x = 2 + 2

+1

Dezimale

x = 2, x = 0.58578 \dots, x = 3.41421 \dots

Schritte zur Lösung

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

Faktorisiere

((x - 2)^{2})^{2} - 2 (x - 2)^{2} : (x - 2)^{2} (x - 2 + 2) (x - 2 - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 2 = 0 : x = 2

Löse

x - 2 + 2 = 0 : x = 2 - 2

Löse

x - 2 - 2 = 0 : x = 2 + 2

Die Lösungen sind

x = 2, x = 2 - 2, x = 2 + 2

Graph

Beliebte Beispiele

u^{3} = - 23

0=3x^3-3x^2-18x

0 = 3 x^{3} - 3 x^{2} - 18 x

x^{4} - 64 i = 0

0=9x^5+72x^2+4x^4+32x

0 = 9 x^{5} + 72 x^{2} + 4 x^{4} + 32 x

x^3-300x-3000=0

x^{3} - 300 x - 3000 = 0