(x-2/x-3)=5/6

Solution for (x-2/x-3)=5/6 equation:

D( x )

x = 0

x = 0

x = 0

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

x-(2/x)-3 = 5/6 // - 5/6

x-(2/x)-(5/6)-3 = 0

x-2*x^-1-5/6-3 = 0

1*x^1-2*x^-1-23/6*x^0 = 0

(1*x^2-23/6*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-23/6*x^1-2*x^0) = 0

x^1

x^2+(-23/6)*x-2 = 0

x^2+(-23/6)*x-2 = 0

DELTA = (-23/6)^2-(-2*1*4)

DELTA = 817/36

DELTA > 0

x = ((817/36)^(1/2)-(-23/6))/(1*2) or x = (-(-23/6)-(817/36)^(1/2))/(1*2)

x = ((817/36)^(1/2)+23/6)/2 or x = (23/6-(817/36)^(1/2))/2

x in { (23/6-(817/36)^(1/2))/2, ((817/36)^(1/2)+23/6)/2} 

x in { (23/6-(817/36)^(1/2))/2, ((817/36)^(1/2)+23/6)/2 }