de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

3x^4-8x^2+5=0

Lösung

3 x^{4} - 8 x^{2} + 5 = 0

Lösung

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

+1

Dezimale

x = 1.29099 \dots, x = - 1.29099 \dots, x = 1, x = - 1

Schritte zur Lösung

3 x^{4} - 8 x^{2} + 5 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

3 u^{2} - 8 u + 5 = 0

Löse

3 u^{2} - 8 u + 5 = 0 : u = \frac{5}{3}, u = 1

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

Setze

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

löse für

x

Löse

x^{2} = \frac{5}{3} : x = \frac{5}{3}, x = - \frac{5}{3}

Löse

x^{2} = 1 : x = 1, x = - 1

Die Lösungen sind

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

Graph

Beliebte Beispiele

3x^3-4x^2-27x+36=0

3 x^{3} - 4 x^{2} - 27 x + 36 = 0

(x+7)^3(x-2i)(x+2i)=0

(x + 7)^{3} (x - 2 i) (x + 2 i) = 0

4x^3+7x^2-12x-21=0

4 x^{3} + 7 x^{2} - 12 x - 21 = 0

x^4-5x^2+6x-4=0

x^{4} - 5 x^{2} + 6 x - 4 = 0

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