3-162/x^2

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Solution for 3-162/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)

3-(162/(x^2)) = 0

3-162*x^-2 = 0

-162*x^-2 = -3 // : -162

x^-2 = 1/54

-2 < 0

1/(x^2) = 1/54 // * x^2

1 = 1/54*x^2 // : 1/54

54 = x^2

x^2 = 54 // ^ 1/2

abs(x) = 3*6^(1/2)

x = 3*6^(1/2) or x = -(3*6^(1/2))

x in { 3*6^(1/2), -(3*6^(1/2)) }

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