de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

4x^3+30x^2+70x+50=0

Lösung

4 x^{3} + 30 x^{2} + 70 x + 50 = 0

Lösung

x = - \frac{5}{2}, x = \frac{- 5 + 5}{2}, x = \frac{- 5 - 5}{2}

+1

Dezimale

x = - 2.5, x = - 1.38196 \dots, x = - 3.61803 \dots

Schritte zur Lösung

4 x^{3} + 30 x^{2} + 70 x + 50 = 0

Faktorisiere

4 x^{3} + 30 x^{2} + 70 x + 50 : 2 (2 x + 5) (x^{2} + 5 x + 5)

2 (2 x + 5) (x^{2} + 5 x + 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x + 5 = 0 or x^{2} + 5 x + 5 = 0

Löse

2 x + 5 = 0 : x = - \frac{5}{2}

Löse

x^{2} + 5 x + 5 = 0 : x = \frac{- 5 + 5}{2}, x = \frac{- 5 - 5}{2}

Die Lösungen sind

x = - \frac{5}{2}, x = \frac{- 5 + 5}{2}, x = \frac{- 5 - 5}{2}

Graph

Beliebte Beispiele

x^{4} + 8 = 0

x^3-15x^2+72x-108=0

x^{3} - 15 x^{2} + 72 x - 108 = 0

2 x^{3} + 16 x^{2} = 0

0.2x^3-0.2x^2-1.2x=0

0.2 x^{3} - 0.2 x^{2} - 1.2 x = 0

x^6+x^4+x^2+1=0

x^{6} + x^{4} + x^{2} + 1 = 0