11x^8+9x^5/x

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Solution for 11x^8+9x^5/x equation: 


D( x )

x = 0

x = 0

x = 0

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

11*x^8+(9*x^5)/x = 0

11*x^8+9*x^4 = 0

t_1 = x^4

11*t_1^2+9*t_1^1 = 0

11*t_1^2+9*t_1 = 0

DELTA = 9^2-(0*4*11)

DELTA = 81

DELTA > 0

t_1 = (81^(1/2)-9)/(2*11) or t_1 = (-81^(1/2)-9)/(2*11)

t_1 = 0 or t_1 = -9/11

t_1 = -9/11

x^4+9/11 = 0

1*x^4 = -9/11 // : 1

x^4 = -9/11

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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