X-4/x^2-16

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Solution for X-4/x^2-16 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-(4/(x^2))-16 = 0

X-4*x^-2-16 = 0

-4*x^-2 = -(X-16) // : -4

x^-2 = (16-X)/(-4)

-2 < 0

1/(x^2) = (16-X)/(-4) // * x^2

1 = x^2*((16-X)/(-4)) // : (16-X)/(-4)

-4*(16-X)^-1 = x^2

x^2 = -4*(16-X)^-1 // ^ 1/2

abs(x) = (-4)^(1/2)*(16-X)^(-1/2)

x = (-4)^(1/2)*(16-X)^(-1/2) or x = -((-4)^(1/2)*(16-X)^(-1/2))

x in { (-4)^(1/2)*(16-X)^(-1/2), -((-4)^(1/2)*(16-X)^(-1/2)) }

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