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Beliebt Algebra >

x^5-13x^3+36x=0

Lösung

x^{5} - 13 x^{3} + 36 x = 0

Lösung

x = 0, x = - 2, x = 2, x = - 3, x = 3

Schritte zur Lösung

x^{5} - 13 x^{3} + 36 x = 0

Faktorisiere

x^{5} - 13 x^{3} + 36 x : x (x + 2) (x - 2) (x + 3) (x - 3)

x (x + 2) (x - 2) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x + 2 = 0 or x - 2 = 0 or x + 3 = 0 or x - 3 = 0

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = 0, x = - 2, x = 2, x = - 3, x = 3

Graph

Beliebte Beispiele

x^{6} + 36 = 100

(2x-1)(x^2-14)=0

(2 x - 1) (x^{2} - 14) = 0

x^{3} + 3 = 57

x^4-6x^3+11x^2-8x+2=0

x^{4} - 6 x^{3} + 11 x^{2} - 8 x + 2 = 0

-10n^3-15n^4=5n^3

- 10 n^{3} - 15 n^{4} = 5 n^{3}