de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

27x^3-9x^2-12x+4=0

Lösung

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

Lösung

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

+1

Dezimale

x = 0.33333 \dots, x = - 0.66666 \dots, x = 0.66666 \dots

Schritte zur Lösung

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

Faktorisiere

27 x^{3} - 9 x^{2} - 12 x + 4 : (3 x - 1) (3 x + 2) (3 x - 2)

(3 x - 1) (3 x + 2) (3 x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x - 1 = 0 or 3 x + 2 = 0 or 3 x - 2 = 0

Löse

3 x - 1 = 0 : x = \frac{1}{3}

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

2t^3-2t^2-3t+2=0

2 t^{3} - 2 t^{2} - 3 t + 2 = 0

g(n)=3n^3+15n^2+5n

g (n) = 3 n^{3} + 15 n^{2} + 5 n

x^{3} - 4 x^{2} - 5 = 0

x^{4} + 2 i x^{2} - 1 = 0

r^3-6r^2+12r-8=0

r^{3} - 6 r^{2} + 12 r - 8 = 0