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Beliebt Algebra >

6x^5-6x=0

Lösung

6 x^{5} - 6 x = 0

Lösung

x = 0, x = i, x = - i, x = - 1, x = 1

Schritte zur Lösung

6 x^{5} - 6 x = 0

Faktorisiere

6 x^{5} - 6 x : 6 x (x^{2} + 1) (x + 1) (x - 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Die Lösungen sind

x = 0, x = i, x = - i, x = - 1, x = 1

Graph

Beliebte Beispiele

x^3+x^2-14x-24=0

x^{3} + x^{2} - 14 x - 24 = 0

16x^3+16x^2=x+1

16 x^{3} + 16 x^{2} = x + 1

x^4+8x^3-3x^2-26x-16=0

x^{4} + 8 x^{3} - 3 x^{2} - 26 x - 16 = 0

x^{5} - 4 x^{3} - 3 = 0

6x^4-x^3-6x^2-12x-5=0

6 x^{4} - x^{3} - 6 x^{2} - 12 x - 5 = 0