(10)-(2500)/(x^2)

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Solution for (10)-(2500)/(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)

10-(2500/(x^2)) = 0

10-2500*x^-2 = 0

-2500*x^-2 = -10 // : -2500

x^-2 = 1/250

-2 < 0

1/(x^2) = 1/250 // * x^2

1 = 1/250*x^2 // : 1/250

250 = x^2

x^2 = 250 // ^ 1/2

abs(x) = 5*10^(1/2)

x = 5*10^(1/2) or x = -(5*10^(1/2))

x in { 5*10^(1/2), -(5*10^(1/2)) }

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