de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^4-14x^2+48=0

Lösung

x^{4} - 14 x^{2} + 48 = 0

Lösung

x = 22, x = - 22, x = 6, x = - 6

+1

Dezimale

x = 2.82842 \dots, x = - 2.82842 \dots, x = 2.44948 \dots, x = - 2.44948 \dots

Schritte zur Lösung

x^{4} - 14 x^{2} + 48 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 14 u + 48 = 0

Löse

u^{2} - 14 u + 48 = 0 : u = 8, u = 6

u = 8, u = 6

Setze

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

löse für

x

Löse

x^{2} = 8 : x = 22, x = - 22

Löse

x^{2} = 6 : x = 6, x = - 6

Die Lösungen sind

x = 22, x = - 22, x = 6, x = - 6

Graph

Beliebte Beispiele

x^3+6x^2+11x-6=0

x^{3} + 6 x^{2} + 11 x - 6 = 0

3x^3+x^2+3x+1=0

3 x^{3} + x^{2} + 3 x + 1 = 0

t^{4} - 16 = 0

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

\frac{1}{2} = 3 x - 4 x^{3}