2/x+2+2/x^2-4

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Solution for 2/x+2+2/x^2-4 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

2/x+2/(x^2)-4+2 = 0

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

t_1 = x^-1

2*t_1^2+2*t_1^1-2 = 0

2*t_1^2+2*t_1-2 = 0

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

DELTA = 20

DELTA > 0

t_1 = (20^(1/2)-2)/(2*2) or t_1 = (-20^(1/2)-2)/(2*2)

t_1 = (2*5^(1/2)-2)/4 or t_1 = (-2*5^(1/2)-2)/4

t_1 = (-2*5^(1/2)-2)/4

x^-1-((-2*5^(1/2)-2)/4) = 0

1*x^-1 = (-2*5^(1/2)-2)/4 // : 1

x^-1 = (-2*5^(1/2)-2)/4

-1 < 0

1/(x^1) = (-2*5^(1/2)-2)/4 // * x^1

1 = ((-2*5^(1/2)-2)/4)*x^1 // : (-2*5^(1/2)-2)/4

4*(-2*5^(1/2)-2)^-1 = x^1

x = 4*(-2*5^(1/2)-2)^-1

t_1 = (2*5^(1/2)-2)/4

x^-1-((2*5^(1/2)-2)/4) = 0

1*x^-1 = (2*5^(1/2)-2)/4 // : 1

x^-1 = (2*5^(1/2)-2)/4

-1 < 0

1/(x^1) = (2*5^(1/2)-2)/4 // * x^1

1 = ((2*5^(1/2)-2)/4)*x^1 // : (2*5^(1/2)-2)/4

4*(2*5^(1/2)-2)^-1 = x^1

x = 4*(2*5^(1/2)-2)^-1

x in { 4*(-2*5^(1/2)-2)^-1, 4*(2*5^(1/2)-2)^-1 }

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