3/x^2=64

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Solution for 3/x^2=64 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)

3/(x^2) = 64 // - 64

3/(x^2)-64 = 0

3*x^-2 = 64 // : 3

x^-2 = 64/3

-2 < 0

1/(x^2) = 64/3 // * x^2

1 = 64/3*x^2 // : 64/3

3/64 = x^2

x^2 = 3/64 // ^ 1/2

abs(x) = (3/64)^(1/2)

x = (3/64)^(1/2) or x = -(3/64)^(1/2)

x in { (3/64)^(1/2), -(3/64)^(1/2) }

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