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Beliebt Algebra >

36x^3-x=0

Lösung

36 x^{3} - x = 0

Lösung

x = 0, x = - \frac{1}{6}, x = \frac{1}{6}

+1

Dezimale

x = 0, x = - 0.16666 \dots, x = 0.16666 \dots

Schritte zur Lösung

36 x^{3} - x = 0

Faktorisiere

36 x^{3} - x : x (6 x + 1) (6 x - 1)

x (6 x + 1) (6 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 6 x + 1 = 0 or 6 x - 1 = 0

Löse

6 x + 1 = 0 : x = - \frac{1}{6}

Löse

6 x - 1 = 0 : x = \frac{1}{6}

Die Lösungen sind

x = 0, x = - \frac{1}{6}, x = \frac{1}{6}

Graph

Beliebte Beispiele

12 z^{5} - 18 z^{2} = 0

-x^4+x^3+6x^2+2=0

- x^{4} + x^{3} + 6 x^{2} + 2 = 0

2x^3+x^2-6x-3=0

2 x^{3} + x^{2} - 6 x - 3 = 0

z^{4} + 400 = 0

0=-x^3+5x^2-3x-9

0 = - x^{3} + 5 x^{2} - 3 x - 9