de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^{10}-10x^2+5=0

Lösung

x^{10} - 10 x^{2} + 5 = 0

Lösung

x = \frac{3.14517 E 14}{6.25 E 14}, x = - \frac{3.14517 E 14}{6.25 E 14}, x = \frac{4.05431 E 15}{2.5 E 15}, x = - \frac{4.05431 E 15}{2.5 E 15}

+1

Dezimale

x = 0.70938 \dots, x = - 0.70938 \dots, x = 1.27346 \dots, x = - 1.27346 \dots

Schritte zur Lösung

x^{10} - 10 x^{2} + 5 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{5} = x^{10}

u^{5} - 10 u + 5 = 0

Löse

u^{5} - 10 u + 5 = 0 : u \approx 0.50322 \dots, u \approx 1.62172 \dots, u \approx - 1.88596 \dots

u \approx 0.50322 \dots, u \approx 1.62172 \dots, u \approx - 1.88596 \dots

Setze

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

löse für

x

Löse

x^{2} = 0.50322 \dots : x = \frac{3.14517 E 14}{6.25 E 14}, x = - \frac{3.14517 E 14}{6.25 E 14}

Löse

x^{2} = 1.62172 \dots : x = \frac{4.05431 E 15}{2.5 E 15}, x = - \frac{4.05431 E 15}{2.5 E 15}

Löse

x^{2} = - 1.88596 \dots :

Keine Lösung für

x \in R

Die Lösungen sind

x = \frac{3.14517 E 14}{6.25 E 14}, x = - \frac{3.14517 E 14}{6.25 E 14}, x = \frac{4.05431 E 15}{2.5 E 15}, x = - \frac{4.05431 E 15}{2.5 E 15}

Graph

Beliebte Beispiele

x^3-7x^2-2x+14=0

x^{3} - 7 x^{2} - 2 x + 14 = 0

x^{8} = 16

x^{4} + 20 x^{2} + 64 = 0

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

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

x^{3} = 3375