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Beliebt Algebra >

125x^4+x=0

Lösung

125 x^{4} + x = 0

Lösung

x = 0, x = - \frac{1}{5}, x = \frac{1}{10} - \frac{3}{10} i, x = \frac{1}{10} + \frac{3}{10} i

Schritte zur Lösung

125 x^{4} + x = 0

Faktorisiere

125 x^{4} + x : x (125 x^{3} + 1)

x (125 x^{3} + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 125 x^{3} + 1 = 0

Löse

125 x^{3} + 1 = 0 : x = - \frac{1}{5}, x = \frac{1}{10} - \frac{3}{10} i, x = \frac{1}{10} + \frac{3}{10} i

Die Lösungen sind

x = 0, x = - \frac{1}{5}, x = \frac{1}{10} - \frac{3}{10} i, x = \frac{1}{10} + \frac{3}{10} i

Graph

Beliebte Beispiele

x^{3} - 7 x + 3 = 0

y^{3} = 5

x^4-18x^2-x+78=0

x^{4} - 18 x^{2} - x + 78 = 0

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x^{3} - 4 x^{2} - 9 x + 12 = 0

x^3+5x^2-16x-80=0

x^{3} + 5 x^{2} - 16 x - 80 = 0