x^2-3/x-2=2

Solution for x^2-3/x-2=2 equation:

D( x )

x = 0

x = 0

x = 0

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

x^2-(3/x)-2 = 2 // - 2

x^2-(3/x)-2-2 = 0

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

1*x^2-3*x^-1-4*x^0 = 0

(1*x^3-4*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^3-4*x^1-3*x^0) = 0

x^1

x^3-4*x-3 = 0

{ 1, -1, 3, -3 }

1

x = 1

x^3-4*x-3 = -6

1

-1

x = -1

x^3-4*x-3 = 0

-1

x+1

x^2-x-3

x^3-4*x-3

x+1

-x^3-x^2

-x^2-4*x-3

x^2+x

-3*x-3

3*x+3

0

x^2-x-3 = 0

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

DELTA = 13

DELTA > 0

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

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

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

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