(x/x+2)-(x+2/x)=2/63

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Solution for (x/x+2)-(x+2/x)=2/63 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/x-x-(2/x)+2 = 2/63 // - 2/63

x/x-x-(2/x)-(2/63)+2 = 0

x/x-x-2*x^-1-2/63+2 = 0

187/63*x^0-1*x^1-2*x^-1 = 0

(187/63*x^1-1*x^2-2*x^0)/(x^1) = 0 // * x^2

x^1*(187/63*x^1-1*x^2-2*x^0) = 0

x^1

(187/63)*x-x^2-2 = 0

(187/63)*x-x^2-2 = 0

DELTA = (187/63)^2-(-2*(-1)*4)

DELTA = 3217/3969

DELTA > 0

x = ((3217/3969)^(1/2)-(187/63))/(-1*2) or x = (-(187/63)-(3217/3969)^(1/2))/(-1*2)

x = ((3217/3969)^(1/2)-187/63)/(-2) or x = ((3217/3969)^(1/2)+187/63)/2

x in { ((3217/3969)^(1/2)-187/63)/(-2), ((3217/3969)^(1/2)+187/63)/2} 

x in { ((3217/3969)^(1/2)-187/63)/(-2), ((3217/3969)^(1/2)+187/63)/2 }

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