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Beliebt Algebra >

5x^5-20x=0

Lösung

5 x^{5} - 20 x = 0

Lösung

x = 0, x = 2 i, x = - 2 i, x = - 2, x = 2

Schritte zur Lösung

5 x^{5} - 20 x = 0

Faktorisiere

5 x^{5} - 20 x : 5 x (x^{2} + 2) (x + 2) (x - 2)

5 x (x^{2} + 2) (x + 2) (x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + 2 = 0 or x + 2 = 0 or x - 2 = 0

Löse

x^{2} + 2 = 0 : x = 2 i, x = - 2 i

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = 0, x = 2 i, x = - 2 i, x = - 2, x = 2

Graph

Beliebte Beispiele

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

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

5 x^{5} = - 40 x^{2}

λ^3-3λ^2+3λ-1=0

λ^{3} - 3 λ^{2} + 3 λ - 1 = 0

5 - 1 x^{3} = - 15

x^3-3x^2-4x-12=0

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