3/4-1/x=1/2x

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Solution for 3/4-1/x=1/2x equation: 


D( x )

x = 0

x = 0

x = 0

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

3/4-(1/x) = (1/2)*x // - (1/2)*x

3/4-((1/2)*x)-(1/x) = 0

(-1/2)*x-x^-1+3/4 = 0

3/4*x^0-1/2*x^1-1*x^-1 = 0

(3/4*x^1-1/2*x^2-1*x^0)/(x^1) = 0 // * x^2

x^1*(3/4*x^1-1/2*x^2-1*x^0) = 0

x^1

(-1/2)*x^2+(3/4)*x-1 = 0

(-1/2)*x^2+(3/4)*x-1 = 0

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

DELTA = -23/16

DELTA < 0

x in { } 

x belongs to the empty set

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