(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+13/6*x^0 = 0

(1*x^2+13/6*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+13/6*x^1-2*x^0) = 0

x^1

x^2+(13/6)*x-2 = 0

x^2+(13/6)*x-2 = 0

DELTA = (13/6)^2-(-2*1*4)

DELTA = 457/36

DELTA > 0

x = ((457/36)^(1/2)-(13/6))/(1*2) or x = (-(13/6)-(457/36)^(1/2))/(1*2)

x = ((457/36)^(1/2)-13/6)/2 or x = (-((457/36)^(1/2)+13/6))/2

x in { (-((457/36)^(1/2)+13/6))/2, ((457/36)^(1/2)-13/6)/2} 

x in { (-((457/36)^(1/2)+13/6))/2, ((457/36)^(1/2)-13/6)/2 }