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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = 0, x = - 0.70710 \dots, x = 0.70710 \dots

Schritte zur Lösung

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

Faktorisiere

2 x (2 x^{2} - 1) : 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

9 d x^{10} = 210

6m^3-12m^2-378m=0

6 m^{3} - 12 m^{2} - 378 m = 0

(x - 2)^{3} + 1 = 0

(4 x^{2} - 25)^{2} = 0

4 x^{3} - 3 = 9