de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

18x^3-27x^2-50x+75=0

Lösung

18 x^{3} - 27 x^{2} - 50 x + 75 = 0

Lösung

x = \frac{3}{2}, x = - \frac{5}{3}, x = \frac{5}{3}

+1

Dezimale

x = 1.5, x = - 1.66666 \dots, x = 1.66666 \dots

Schritte zur Lösung

18 x^{3} - 27 x^{2} - 50 x + 75 = 0

Faktorisiere

18 x^{3} - 27 x^{2} - 50 x + 75 : (2 x - 3) (3 x + 5) (3 x - 5)

(2 x - 3) (3 x + 5) (3 x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x - 3 = 0 or 3 x + 5 = 0 or 3 x - 5 = 0

Löse

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

Löse

3 x + 5 = 0 : x = - \frac{5}{3}

Löse

3 x - 5 = 0 : x = \frac{5}{3}

Die Lösungen sind

x = \frac{3}{2}, x = - \frac{5}{3}, x = \frac{5}{3}

Graph

Beliebte Beispiele

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

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

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

x^3-4x^2+20x-77=0

x^{3} - 4 x^{2} + 20 x - 77 = 0

(x + 10)^{5} = 70

x^{8} - 10 x^{4} + 9 = 0