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Beliebt Algebra >

2x^5-18x=0

Lösung

2 x^{5} - 18 x = 0

Lösung

x = 0, x = 3 i, x = - 3 i, x = - 3, x = 3

Schritte zur Lösung

2 x^{5} - 18 x = 0

Faktorisiere

2 x^{5} - 18 x : 2 x (x^{2} + 3) (x + 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = 0, x = 3 i, x = - 3 i, x = - 3, x = 3

Graph

Beliebte Beispiele

x^{9} - x^{6} = 36

25x^4+15x^2+5=0

25 x^{4} + 15 x^{2} + 5 = 0

(r^2+6r+13)^2=0

(r^{2} + 6 r + 13)^{2} = 0

2 x^{4} - 3 x^{3} = 9 x^{2}

6x^3+x^2-54x-9=0

6 x^{3} + x^{2} - 54 x - 9 = 0