de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

8x^3+2x-2=0

Lösung

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

Lösung

x = \frac{1}{2}, x = - \frac{1}{4} + i \frac{7}{4}, x = - \frac{1}{4} - i \frac{7}{4}

Schritte zur Lösung

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

Faktorisiere

8 x^{3} + 2 x - 2 : 2 (2 x - 1) (2 x^{2} + x + 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x - 1 = 0 or 2 x^{2} + x + 1 = 0

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Löse

2 x^{2} + x + 1 = 0 : x = - \frac{1}{4} + i \frac{7}{4}, x = - \frac{1}{4} - i \frac{7}{4}

Die Lösungen sind

x = \frac{1}{2}, x = - \frac{1}{4} + i \frac{7}{4}, x = - \frac{1}{4} - i \frac{7}{4}

Graph

Beliebte Beispiele

x^{2} - 4 = - x^{3} + 6

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

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

x (x^{2} - 9) = 0

4 x (x - 1)^{2} = 1

(x+1)(x+2)^2(x^2-6x+10)=0

(x + 1) (x + 2)^{2} (x^{2} - 6 x + 10) = 0