(1/4)-(5/2x)=1/x

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Solution for (1/4)-(5/2x)=1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

1/4-((5/2)*x) = 1/x // - 1/x

1/4-((5/2)*x)-(1/x) = 0

(-5/2)*x-x^-1+1/4 = 0

1/4*x^0-5/2*x^1-1*x^-1 = 0

(1/4*x^1-5/2*x^2-1*x^0)/(x^1) = 0 // * x^2

x^1*(1/4*x^1-5/2*x^2-1*x^0) = 0

x^1

(-5/2)*x^2+(1/4)*x-1 = 0

(-5/2)*x^2+(1/4)*x-1 = 0

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

DELTA = -159/16

DELTA < 0

x in { } 

x belongs to the empty set

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