2-64/x^2

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Solution for 2-64/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)

2-(64/(x^2)) = 0

2-64*x^-2 = 0

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

x^-2 = 1/32

-2 < 0

1/(x^2) = 1/32 // * x^2

1 = 1/32*x^2 // : 1/32

32 = x^2

x^2 = 32 // ^ 1/2

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

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

x in { 4*2^(1/2), -(4*2^(1/2)) }

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