(x^5+1)/(x+1)

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Solution for (x^5+1)/(x+1) equation: 


D( x )

x+1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:+oo)

(x^5+1)/(x+1) = 0

1*x^5 = -1 // : 1

x^5 = -1

x^5 = -1 // ^ 1/5

x = -1

x in { -1} 

x belongs to the empty set

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