x^2-3/x^4

Solution for x^2-3/x^4 equation:

D( x )

x^4 = 0

x^4 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

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

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

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

t_1 = x^2

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

t_1-3*t_1^-2 = 0

t_1*(1-3*t_1^-3) = 0

-3*t_1^-3 = -1 // : -3

t_1^-3 = 1/3

-3 < 0

1/(t_1^3) = 1/3 // * t_1^3

1 = 1/3*t_1^3 // : 1/3

3 = t_1^3

t_1^3 = 3 // ^ 1/3

t_1 = 3^(1/3)

t_1 = 0

t_1 = 0

t_1 = 3^(1/3)

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

1*x^2 = 3^(1/3) // : 1

x^2 = 3^(1/3)

x^2 = 3^(1/3) // ^ 1/2

abs(x) = 3^(1/6)

x = 3^(1/6) or x = -3^(1/6)

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0} 

x in { 3^(1/6), -3^(1/6) }