de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

15x^4+7x^2-2=0

Lösung

15 x^{4} + 7 x^{2} - 2 = 0

Lösung

x = \frac{1}{5}, x = - \frac{1}{5}, x = \frac{2}{3} i, x = - \frac{2}{3} i

Schritte zur Lösung

15 x^{4} + 7 x^{2} - 2 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

15 u^{2} + 7 u - 2 = 0

Löse

15 u^{2} + 7 u - 2 = 0 : u = \frac{1}{5}, u = - \frac{2}{3}

u = \frac{1}{5}, u = - \frac{2}{3}

Setze

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

löse für

x

Löse

x^{2} = \frac{1}{5} : x = \frac{1}{5}, x = - \frac{1}{5}

Löse

x^{2} = - \frac{2}{3} : x = \frac{2}{3} i, x = - \frac{2}{3} i

Die Lösungen sind

x = \frac{1}{5}, x = - \frac{1}{5}, x = \frac{2}{3} i, x = - \frac{2}{3} i

Graph

Beliebte Beispiele

x^3-5x^2+3x= 1/2

x^{3} - 5 x^{2} + 3 x = \frac{1}{2}

2x^3-3x^2-2x+3=x^2-1

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

x^{3} - 5 x^{2} + x + 3 = 0

9x^4+69x^3-29x^2-41x-8=0

9 x^{4} + 69 x^{3} - 29 x^{2} - 41 x - 8 = 0

- x^{3} + 16 x = 0