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Beliebt Algebra >

-8x^3+2x=0

Lösung

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

Lösung

x = 0, x = - \frac{1}{2}, x = \frac{1}{2}

+1

Dezimale

x = 0, x = - 0.5, x = 0.5

Schritte zur Lösung

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

Faktorisiere

- 8 x^{3} + 2 x : - 2 x (2 x + 1) (2 x - 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

2 x + 1 = 0 : x = - \frac{1}{2}

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Die Lösungen sind

x = 0, x = - \frac{1}{2}, x = \frac{1}{2}

Graph

Beliebte Beispiele

x^{3} - 31 x + 30 = 0

9x^4-148x^2+64=0

9 x^{4} - 148 x^{2} + 64 = 0

x^3-25x^2+156.25x=50

x^{3} - 25 x^{2} + 156.25 x = 50

2 x^{4} = 24 x^{2}

6x^4+13x^3-8x^2-17x+6=0

6 x^{4} + 13 x^{3} - 8 x^{2} - 17 x + 6 = 0