X-8/x^2-36

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Solution for X-8/x^2-36 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-(8/(x^2))-36 = 0

X-8*x^-2-36 = 0

-8*x^-2 = -(X-36) // : -8

x^-2 = (36-X)/(-8)

-2 < 0

1/(x^2) = (36-X)/(-8) // * x^2

1 = x^2*((36-X)/(-8)) // : (36-X)/(-8)

-8*(36-X)^-1 = x^2

x^2 = -8*(36-X)^-1 // ^ 1/2

abs(x) = (-8)^(1/2)*(36-X)^(-1/2)

x = (-8)^(1/2)*(36-X)^(-1/2) or x = -((-8)^(1/2)*(36-X)^(-1/2))

x in { (-8)^(1/2)*(36-X)^(-1/2), -((-8)^(1/2)*(36-X)^(-1/2)) }

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