4x=1/x^2

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Solution for 4x=1/x^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)

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

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

4*x-x^-2 = 0

4*x-x^-2 = 0

x*(4-x^-3) = 0

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

x^-3 = 4

-3 < 0

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

1 = 4*x^3 // : 4

1/4 = x^3

x^3 = 1/4 // ^ 1/3

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

x = 0

x = 0

x in { 0} 

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

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