x-3/x=3/2x-1/2

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Solution for x-3/x=3/2x-1/2 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = -23/4

DELTA < 0

x in { }

x belongs to the empty set

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