x^2-4/x^4

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Solution for x^2-4/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-(4/(x^4)) = 0

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

t_1 = x^2

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

t_1-4*t_1^-2 = 0

t_1*(1-4*t_1^-3) = 0

-4*t_1^-3 = -1 // : -4

t_1^-3 = 1/4

-3 < 0

1/(t_1^3) = 1/4 // * t_1^3

1 = 1/4*t_1^3 // : 1/4

4 = t_1^3

t_1^3 = 4 // ^ 1/3

t_1 = 4^(1/3)

t_1 = 0

t_1 = 0

t_1 = 4^(1/3)

x^2-4^(1/3) = 0

1*x^2 = 4^(1/3) // : 1

x^2 = 4^(1/3)

x^2 = 4^(1/3) // ^ 1/2

abs(x) = 4^(1/6)

x = 4^(1/6) or x = -4^(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 { 4^(1/6), -4^(1/6) }

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