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Beliebt Algebra >

2x^2-4x^5=0

Lösung

2 x^{2} - 4 x^{5} = 0

Lösung

x = 0, x = \frac{1}{3 2}, x = - \frac{1}{2 3 2} + \frac{3}{2 3 2} i, x = - \frac{1}{2 3 2} - \frac{3}{2 3 2} i

Schritte zur Lösung

2 x^{2} - 4 x^{5} = 0

Faktorisiere

2 x^{2} - 4 x^{5} : - 2 x^{2} (2 x^{3} - 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 2 x^{3} - 1 = 0

Löse

2 x^{3} - 1 = 0 : x = \frac{1}{3 2}, x = - \frac{1}{2 3 2} + \frac{3}{2 3 2} i, x = - \frac{1}{2 3 2} - \frac{3}{2 3 2} i

Die Lösungen sind

x = 0, x = \frac{1}{3 2}, x = - \frac{1}{2 3 2} + \frac{3}{2 3 2} i, x = - \frac{1}{2 3 2} - \frac{3}{2 3 2} i

Graph

Beliebte Beispiele

x^{5} = 6

x^{4} - x + 1 = 0

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

3 x - 1 = 3 x^{3} - x^{2}

c^{3} = 49