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Beliebt Algebra >

x^5-x^2=0

Lösung

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

Lösung

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

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

a^{3} + a^{2} = 36

45 = 4 y^{3} - 3

x^4-3x^3-9x^2+23x-12=0

x^{4} - 3 x^{3} - 9 x^{2} + 23 x - 12 = 0

x^3+5x^2-9x-45=0

x^{3} + 5 x^{2} - 9 x - 45 = 0

x^3-6x^2-4x+24=0

x^{3} - 6 x^{2} - 4 x + 24 = 0