3-4/x-2/x2=0

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Solution for 3-4/x-2/x2=0 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)

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

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

t_1 = x^-1

3-2*t_1^2-4*t_1^1 = 0

3-2*t_1^2-4*t_1 = 0

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

DELTA = 40

DELTA > 0

t_1 = (40^(1/2)+4)/(-2*2) or t_1 = (4-40^(1/2))/(-2*2)

t_1 = (2*10^(1/2)+4)/(-4) or t_1 = (4-2*10^(1/2))/(-4)

t_1 = (2*10^(1/2)+4)/(-4)

x^-1-((2*10^(1/2)+4)/(-4)) = 0

1*x^-1 = (2*10^(1/2)+4)/(-4) // : 1

x^-1 = (2*10^(1/2)+4)/(-4)

-1 < 0

1/(x^1) = (2*10^(1/2)+4)/(-4) // * x^1

1 = ((2*10^(1/2)+4)/(-4))*x^1 // : (2*10^(1/2)+4)/(-4)

-4*(2*10^(1/2)+4)^-1 = x^1

x = -4*(2*10^(1/2)+4)^-1

t_1 = (4-2*10^(1/2))/(-4)

x^-1-((4-2*10^(1/2))/(-4)) = 0

1*x^-1 = (4-2*10^(1/2))/(-4) // : 1

x^-1 = (4-2*10^(1/2))/(-4)

-1 < 0

1/(x^1) = (4-2*10^(1/2))/(-4) // * x^1

1 = ((4-2*10^(1/2))/(-4))*x^1 // : (4-2*10^(1/2))/(-4)

-4*(4-2*10^(1/2))^-1 = x^1

x = -4*(4-2*10^(1/2))^-1

x in { -4*(2*10^(1/2)+4)^-1, -4*(4-2*10^(1/2))^-1 }

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