x+38/9=5x+2/x

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Solution for x+38/9=5x+2/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x+38/9 = 5*x+2/x // - 5*x+2/x

x-(5*x)-(2/x)+38/9 = 0

x-5*x-2*x^-1+38/9 = 0

38/9*x^0-4*x^1-2*x^-1 = 0

(38/9*x^1-4*x^2-2*x^0)/(x^1) = 0 // * x^2

x^1*(38/9*x^1-4*x^2-2*x^0) = 0

x^1

(38/9)*x-4*x^2-2 = 0

(38/9)*x-4*x^2-2 = 0

DELTA = (38/9)^2-(-4*(-2)*4)

DELTA = -1148/81

DELTA < 0

x in { } 

x belongs to the empty set

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