X^2-8=9/x^2

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Solution for X^2-8=9/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)

X^2-8 = 9/(x^2) // - 9/(x^2)

X^2-(9/(x^2))-8 = 0

X^2-9*x^-2-8 = 0

-9*x^-2 = -(X^2-8) // : -9

x^-2 = (8-X^2)/(-9)

-2 < 0

1/(x^2) = (8-X^2)/(-9) // * x^2

1 = x^2*((8-X^2)/(-9)) // : (8-X^2)/(-9)

-9*(8-X^2)^-1 = x^2

x^2 = -9*(8-X^2)^-1 // ^ 1/2

abs(x) = (-9)^(1/2)*(8-X^2)^(-1/2)

x = (-9)^(1/2)*(8-X^2)^(-1/2) or x = -((-9)^(1/2)*(8-X^2)^(-1/2))

x in { (-9)^(1/2)*(8-X^2)^(-1/2), -((-9)^(1/2)*(8-X^2)^(-1/2)) }

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