6+9x/x^3+8x^2-9

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Solution for 6+9x/x^3+8x^2-9 equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

8*x^2+(9*x)/(x^3)-9+6 = 0

8*x^2+9*x^-2-3 = 0

t_1 = x^2

8*t_1^1+9*t_1^-1-3 = 0

8*t_1^1+9*t_1^-1-3*t_1^0 = 0

(8*t_1^2-3*t_1^1+9*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(8*t_1^2-3*t_1^1+9*t_1^0) = 0

t_1^1

8*t_1^2-3*t_1+9 = 0

8*t_1^2-3*t_1+9 = 0

DELTA = (-3)^2-(4*8*9)

DELTA = -279

DELTA < 0

t_1 in { } 

x belongs to the empty set

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