64=k/x^2

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Solution for 64=k/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)

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

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

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

x^-2 = 64/k

-2 < 0

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

1 = (64/k)*x^2 // : 64/k

1/(64/k) = x^2

x^2 = 1/(64/k) // ^ 1/2

abs(x) = 1/(8/(k^(1/2)))

x = 1/(8/(k^(1/2))) or x = -(1/(8/(k^(1/2))))

x in { 1/(8/(k^(1/2))), -(1/(8/(k^(1/2)))) }

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