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X^5 - X^3=0


Odpowiedź :

Odpowiedź:

x⁵ - x³ = 0

x³(x² - 1) = 0

x³(x - 1)(x + 1) = 0

x³ = 0 ∨ x - 1 = 0 ∨ x + 1 = 0

x = 0 ∨ x = 1 ∨ x = - 1

[tex]x^5 -x^3=0\\\\x^3(x^2-1)=0\\\\x^3(x-1)(x+1)=0\\\\x^3=0\ \ \ lub\ \ \ x-1=0\ \ \ lub\ \ \ x+1=0\\\\x=0\ \ \ \ \ \ \ \ \ \ \ \ x=1\ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-1[/tex]