de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

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

Lösung

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

Lösung

x = \frac{3}{2}, x = - 1 + 2, x = - 1 - 2

+1

Dezimale

x = 1.5, x = 0.41421 \dots, x = - 2.41421 \dots

Schritte zur Lösung

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

Faktorisiere

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

(2 x - 3) (x^{2} + 2 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x - 3 = 0 or x^{2} + 2 x - 1 = 0

Löse

2 x - 3 = 0 : x = \frac{3}{2}

Löse

x^{2} + 2 x - 1 = 0 : x = - 1 + 2, x = - 1 - 2

Die Lösungen sind

x = \frac{3}{2}, x = - 1 + 2, x = - 1 - 2

Graph

Beliebte Beispiele

4x^3+23x^2-2x=0

4 x^{3} + 23 x^{2} - 2 x = 0

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

4x^4-33x^2+50=0

4 x^{4} - 33 x^{2} + 50 = 0

a^{4} - a^{2} = 2

2 x^{3} - 31 = 0