x^8+x^5/x

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Solution for x^8+x^5/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

x^8+(x^5)/x = 0

x^8+x^4 = 0

t_1 = x^4

1*t_1^2+1*t_1^1 = 0

t_1^2+t_1 = 0

DELTA = 1^2-(0*1*4)

DELTA = 1

DELTA > 0

t_1 = (1^(1/2)-1)/(1*2) or t_1 = (-1^(1/2)-1)/(1*2)

t_1 = 0 or t_1 = -1

t_1 = -1

x^4+1 = 0

1*x^4 = -1 // : 1

x^4 = -1

t_1 = 0

x^4+0 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

x in { 0} 

x belongs to the empty set

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