de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

3x^3-x^2-48x+16=0

Lösung

3 x^{3} - x^{2} - 48 x + 16 = 0

Lösung

x = \frac{1}{3}, x = - 4, x = 4

+1

Dezimale

x = 0.33333 \dots, x = - 4, x = 4

Schritte zur Lösung

3 x^{3} - x^{2} - 48 x + 16 = 0

Faktorisiere

3 x^{3} - x^{2} - 48 x + 16 : (3 x - 1) (x + 4) (x - 4)

(3 x - 1) (x + 4) (x - 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x - 1 = 0 or x + 4 = 0 or x - 4 = 0

Löse

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

Löse

x + 4 = 0 : x = - 4

Löse

x - 4 = 0 : x = 4

Die Lösungen sind

x = \frac{1}{3}, x = - 4, x = 4

Graph

Beliebte Beispiele

x^3-11x^2+36x-45=0

x^{3} - 11 x^{2} + 36 x - 45 = 0

x^{3} - 13 x = 0

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

solvefor x,x^3+y^3=b^3

so l v e f or x, x^{3} + y^{3} = b^{3}

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

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