x2+2/x-5

Solution for x2+2/x-5 equation:

D( x )

x = 0

x = 0

x = 0

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

x^2+2/x-5 = 0

1*x^2+2*x^-1-5*x^0 = 0

(1*x^3-5*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^3-5*x^1+2*x^0) = 0

x^1

x^3-5*x+2 = 0

{ 1, -1, 2, -2 }

1

x = 1

x^3-5*x+2 = -2

1

-1

x = -1

x^3-5*x+2 = 6

-1

2

x = 2

x^3-5*x+2 = 0

2

x-2

x^2+2*x-1

x^3-5*x+2

x-2

2*x^2-x^3

2*x^2-5*x+2

4*x-2*x^2

2-x

x-2

0

x^2+2*x-1 = 0

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

DELTA = 8

DELTA > 0

x = (8^(1/2)-2)/(1*2) or x = (-8^(1/2)-2)/(1*2)

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

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

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