(X^2-2/x^2)^2

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Solution for (X^2-2/x^2)^2 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(X^2-(2/(x^2)))^2 = 0

(X^2-2*x^-2)^2 = 0

-2*x^-2 = -X^2 // : -2

x^-2 = (X^2)/2

-2 < 0

1/(x^2) = (X^2)/2 // * x^2

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

2*X^-2 = x^2

x^2 = 2*X^-2 // ^ 1/2

abs(x) = 2^(1/2)*X^-1

x = 2^(1/2)*X^-1 or x = -(2^(1/2)*X^-1)

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

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