x/4=9/x^2

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Solution for x/4=9/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)

x/4 = 9/(x^2) // - 9/(x^2)

x/4-(9/(x^2)) = 0

x/4-9*x^-2 = 0

1/4*x-9*x^-2 = 0

x*(1/4-9*x^-3) = 0

-9*x^-3 = -1/4 // : -9

x^-3 = 1/36

-3 < 0

1/(x^3) = 1/36 // * x^3

1 = 1/36*x^3 // : 1/36

36 = x^3

x^3 = 36 // ^ 1/3

x = 36^(1/3)

x = 0

x = 0

x in { 0} 

x = 36^(1/3)

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