X-10/x^2-25

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Solution for X-10/x^2-25 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-(10/(x^2))-25 = 0

X-10*x^-2-25 = 0

-10*x^-2 = -(X-25) // : -10

x^-2 = (25-X)/(-10)

-2 < 0

1/(x^2) = (25-X)/(-10) // * x^2

1 = x^2*((25-X)/(-10)) // : (25-X)/(-10)

-10*(25-X)^-1 = x^2

x^2 = -10*(25-X)^-1 // ^ 1/2

abs(x) = (-10)^(1/2)*(25-X)^(-1/2)

x = (-10)^(1/2)*(25-X)^(-1/2) or x = -((-10)^(1/2)*(25-X)^(-1/2))

x in { (-10)^(1/2)*(25-X)^(-1/2), -((-10)^(1/2)*(25-X)^(-1/2)) }

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