de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

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

Lösung

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

Lösung

x = 0, x = - \frac{3}{2} + i \frac{3}{2}, x = - \frac{3}{2} - i \frac{3}{2}

Schritte zur Lösung

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

Faktorisiere

2 x^{3} + 6 x^{2} + 6 x : 2 x (x^{2} + 3 x + 3)

2 x (x^{2} + 3 x + 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x^{2} + 3 x + 3 = 0 : x = - \frac{3}{2} + i \frac{3}{2}, x = - \frac{3}{2} - i \frac{3}{2}

Die Lösungen sind

x = 0, x = - \frac{3}{2} + i \frac{3}{2}, x = - \frac{3}{2} - i \frac{3}{2}

Graph

Beliebte Beispiele

solvefor x,u=x^3+y^3

so l v e f or x, u = x^{3} + y^{3}

(x + 2)^{4} + x^{4} = 82

f^4(0.5f-0.25)=6+f

f^{4} (0.5 f - 0.25) = 6 + f

(x+4)(x+2)(x-1)=0

(x + 4) (x + 2) (x - 1) = 0

3x^3-12x^2+9x-4=0

3 x^{3} - 12 x^{2} + 9 x - 4 = 0