x-2/x=1/2

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


D( x )

x = 0

x = 0

x = 0

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

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

x-(2/x)-(1/2) = 0

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

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

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

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

x^1

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

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

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

DELTA = 33/4

DELTA > 0

x = ((33/4)^(1/2)-(-1/2))/(1*2) or x = (-(-1/2)-(33/4)^(1/2))/(1*2)

x = ((33/4)^(1/2)+1/2)/2 or x = (1/2-(33/4)^(1/2))/2

x in { (1/2-(33/4)^(1/2))/2, ((33/4)^(1/2)+1/2)/2} 

x in { (1/2-(33/4)^(1/2))/2, ((33/4)^(1/2)+1/2)/2 }

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