X-3/5x+1=x+5/x

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Solution for X-3/5x+1=x+5/x equation: 


D( x )

x = 0

x = 0

x = 0

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

X-((3/5)*x)+1 = x+5/x // - x+5/x

X-((3/5)*x)-x-(5/x)+1 = 0

X+(-3/5)*x-x-5*x^-1+1 = 0

1*x^0-8/5*x^1-5*x^-1 = 0

(1*x^1-8/5*x^2-5*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^1-8/5*x^2-5*x^0) = 0

x^1

(-8/5)*x^2+x-5 = 0

(-8/5)*x^2+x-5 = 0

DELTA = 1^2-(-5*4*(-8/5))

DELTA = -31

DELTA < 0

x in { } 

x belongs to the empty set

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