X-3/x^2-4

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Solution for X-3/x^2-4 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-(3/(x^2))-4 = 0

X-3*x^-2-4 = 0

-3*x^-2 = -(X-4) // : -3

x^-2 = (4-X)/(-3)

-2 < 0

1/(x^2) = (4-X)/(-3) // * x^2

1 = x^2*((4-X)/(-3)) // : (4-X)/(-3)

-3*(4-X)^-1 = x^2

x^2 = -3*(4-X)^-1 // ^ 1/2

abs(x) = (-3)^(1/2)*(4-X)^(-1/2)

x = (-3)^(1/2)*(4-X)^(-1/2) or x = -((-3)^(1/2)*(4-X)^(-1/2))

x in { (-3)^(1/2)*(4-X)^(-1/2), -((-3)^(1/2)*(4-X)^(-1/2)) }

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