1-2/x/x-4/x

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Solution for 1-2/x/x-4/x equation: 


D( x )

x = 0

x = 0

x = 0

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

1-(4/x)-((2/x)/x) = 0

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

t_1 = x^-1

1-2*t_1^2-4*t_1^1 = 0

1-2*t_1^2-4*t_1 = 0

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

DELTA = 24

DELTA > 0

t_1 = (24^(1/2)+4)/(-2*2) or t_1 = (4-24^(1/2))/(-2*2)

t_1 = (2*6^(1/2)+4)/(-4) or t_1 = (4-2*6^(1/2))/(-4)

t_1 = (2*6^(1/2)+4)/(-4)

x^-1-((2*6^(1/2)+4)/(-4)) = 0

1*x^-1 = (2*6^(1/2)+4)/(-4) // : 1

x^-1 = (2*6^(1/2)+4)/(-4)

-1 < 0

1/(x^1) = (2*6^(1/2)+4)/(-4) // * x^1

1 = ((2*6^(1/2)+4)/(-4))*x^1 // : (2*6^(1/2)+4)/(-4)

-4*(2*6^(1/2)+4)^-1 = x^1

x = -4*(2*6^(1/2)+4)^-1

t_1 = (4-2*6^(1/2))/(-4)

x^-1-((4-2*6^(1/2))/(-4)) = 0

1*x^-1 = (4-2*6^(1/2))/(-4) // : 1

x^-1 = (4-2*6^(1/2))/(-4)

-1 < 0

1/(x^1) = (4-2*6^(1/2))/(-4) // * x^1

1 = ((4-2*6^(1/2))/(-4))*x^1 // : (4-2*6^(1/2))/(-4)

-4*(4-2*6^(1/2))^-1 = x^1

x = -4*(4-2*6^(1/2))^-1

x in { -4*(2*6^(1/2)+4)^-1, -4*(4-2*6^(1/2))^-1 }

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