de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

2x^3+11x^2-17x+28=0

Lösung

2 x^{3} + 11 x^{2} - 17 x + 28 = 0

Lösung

x = - 7, x = \frac{3}{4} + i \frac{23}{4}, x = \frac{3}{4} - i \frac{23}{4}

Schritte zur Lösung

2 x^{3} + 11 x^{2} - 17 x + 28 = 0

Faktorisiere

2 x^{3} + 11 x^{2} - 17 x + 28 : (x + 7) (2 x^{2} - 3 x + 4)

(x + 7) (2 x^{2} - 3 x + 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 7 = 0 : x = - 7

Löse

2 x^{2} - 3 x + 4 = 0 : x = \frac{3}{4} + i \frac{23}{4}, x = \frac{3}{4} - i \frac{23}{4}

Die Lösungen sind

x = - 7, x = \frac{3}{4} + i \frac{23}{4}, x = \frac{3}{4} - i \frac{23}{4}

Graph

Beliebte Beispiele

m^{4} + 4 = 0

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

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

0 = 4 y - y^{3}

9m^3-108m^2+288m=0

9 m^{3} - 108 m^{2} + 288 m = 0