X-(1/x^2)=9

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Solution for X-(1/x^2)=9 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-(1/(x^2)) = 9 // - 9

X-(1/(x^2))-9 = 0

X-x^-2-9 = 0

-1*x^-2 = -(X-9) // : -1

x^-2 = X-9

-2 < 0

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

1 = x^2*(X-9) // : X-9

1/(X-9) = x^2

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

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

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

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

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