de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

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

Lösung

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

Lösung

x = 3 + 7, x = - 3 + 7, x = 3 - 7, x = - 3 - 7

+1

Dezimale

x = 2.37607 \dots, x = - 2.37607 \dots, x = 0.59518 \dots, x = - 0.59518 \dots

Schritte zur Lösung

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

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 6 u + 2 = 0

Löse

u^{2} - 6 u + 2 = 0 : u = 3 + 7, u = 3 - 7

u = 3 + 7, u = 3 - 7

Setze

u = x^{2} w i e d er e in,

löse für

x

Löse

x^{2} = 3 + 7 : x = 3 + 7, x = - 3 + 7

Löse

x^{2} = 3 - 7 : x = 3 - 7, x = - 3 - 7

Die Lösungen sind

x = 3 + 7, x = - 3 + 7, x = 3 - 7, x = - 3 - 7

Graph

Beliebte Beispiele

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

15 x^{4} - 60 x^{2} = 0

x^{4} - 10 x^{2} + 24 = 0

-x^3+8x^2-20x+16=0

- x^{3} + 8 x^{2} - 20 x + 16 = 0

x(x+1)(x+3)=2(x+3)

x (x + 1) (x + 3) = 2 (x + 3)