X/x^2-81

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Solution for X/x^2-81 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/(x^2)-81 = 0

X*x^-2 = 81 // : X

x^-2 = 81/X

-2 < 0

1/(x^2) = 81/X // * x^2

1 = (81/X)*x^2 // : 81/X

1/(81/X) = x^2

x^2 = 1/(81/X) // ^ 1/2

abs(x) = 1/(9/(X^(1/2)))

x = 1/(9/(X^(1/2))) or x = -(1/(9/(X^(1/2))))

x in { 1/(9/(X^(1/2))), -(1/(9/(X^(1/2)))) }

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