(9x)/(x+(1/x))

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Solution for (9x)/(x+(1/x)) equation: 


D( x )

x+1/x = 0

x = 0

x+1/x = 0

x+1/x = 0

1*x^1+1*x^-1 = 0

(1*x^2+1*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+1*x^0) = 0

x^1

x^2+1 = 0

x^2+1 = 0

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

DELTA = -4

DELTA < 0

x in { } 

x = 0

x = 0

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

(9*x)/(x+1/x) = 0

(9*x)/(x+x^-1) = 0

x+x^-1 = 0

x^-1*(x^2+1) = 0

1*x^2 = -1 // : 1

x^2 = -1

1/x = 0

(9*x)/(x^-1) = 0

9*x = 0 // : 9

x = 0

x in { 0} 

x belongs to the empty set

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