9/4-1/2x=4/x

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Solution for 9/4-1/2x=4/x equation: 


D( x )

x = 0

x = 0

x = 0

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

9/4-((1/2)*x) = 4/x // - 4/x

9/4-((1/2)*x)-(4/x) = 0

(-1/2)*x-4*x^-1+9/4 = 0

9/4*x^0-1/2*x^1-4*x^-1 = 0

(9/4*x^1-1/2*x^2-4*x^0)/(x^1) = 0 // * x^2

x^1*(9/4*x^1-1/2*x^2-4*x^0) = 0

x^1

(-1/2)*x^2+(9/4)*x-4 = 0

(-1/2)*x^2+(9/4)*x-4 = 0

DELTA = (9/4)^2-(-4*4*(-1/2))

DELTA = -47/16

DELTA < 0

x in { } 

x belongs to the empty set

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