22+x=3/x+2

Solution for 22+x=3/x+2 equation:

D( x )

x = 0

x = 0

x = 0

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

x+22 = 3/x+2 // - 3/x+2

x-(3/x)-2+22 = 0

x-3*x^-1-2+22 = 0

1*x^1-3*x^-1+20*x^0 = 0

(1*x^2+20*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+20*x^1-3*x^0) = 0

x^1

x^2+20*x-3 = 0

x^2+20*x-3 = 0

DELTA = 20^2-(-3*1*4)

DELTA = 412

DELTA > 0

x = (412^(1/2)-20)/(1*2) or x = (-412^(1/2)-20)/(1*2)

x = (2*103^(1/2)-20)/2 or x = (-2*103^(1/2)-20)/2

x in { (-2*103^(1/2)-20)/2, (2*103^(1/2)-20)/2} 

x in { (-2*103^(1/2)-20)/2, (2*103^(1/2)-20)/2 }