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Beliebt Algebra >

3x^3-4x=0

Lösung

3 x^{3} - 4 x = 0

Lösung

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

+1

Dezimale

x = 0, x = - 1.15470 \dots, x = 1.15470 \dots

Schritte zur Lösung

3 x^{3} - 4 x = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

s^3+3.5s^2+1.75s+1.5=0

s^{3} + 3.5 s^{2} + 1.75 s + 1.5 = 0

-x^3+18x^2-99x+162=0

- x^{3} + 18 x^{2} - 99 x + 162 = 0

6x^5-11x^4-11x+6=0

6 x^{5} - 11 x^{4} - 11 x + 6 = 0

y^{3} - y^{2} + y - 1 = 0

240x^3+180x^2-1440x=0

240 x^{3} + 180 x^{2} - 1440 x = 0