x-6/4x+1=x+3/x

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Solution for x-6/4x+1=x+3/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-((6/4)*x)+1 = x+3/x // - x+3/x

x-((6/4)*x)-x-(3/x)+1 = 0

x+(-3/2)*x-x-3*x^-1+1 = 0

1*x^0-3/2*x^1-3*x^-1 = 0

(1*x^1-3/2*x^2-3*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^1-3/2*x^2-3*x^0) = 0

x^1

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

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

DELTA = 1^2-(-3*4*(-3/2))

DELTA = -17

DELTA < 0

x in { } 

x belongs to the empty set

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