2/x=x-4/16

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Solution for 2/x=x-4/16 equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x = x-(4/16) // - x-(4/16)

2/x-x+4/16 = 0

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

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

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

x^1

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

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

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

DELTA = 129/16

DELTA > 0

x = ((129/16)^(1/2)-(1/4))/(-1*2) or x = (-(1/4)-(129/16)^(1/2))/(-1*2)

x = ((129/16)^(1/2)-1/4)/(-2) or x = ((129/16)^(1/2)+1/4)/2

x in { ((129/16)^(1/2)-1/4)/(-2), ((129/16)^(1/2)+1/4)/2} 

x in { ((129/16)^(1/2)-1/4)/(-2), ((129/16)^(1/2)+1/4)/2 }

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