2/x2=500

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Solution for 2/x2=500 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)

2/(x^2) = 500 // - 500

2/(x^2)-500 = 0

2*x^-2 = 500 // : 2

x^-2 = 250

-2 < 0

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

1 = 250*x^2 // : 250

1/250 = x^2

x^2 = 1/250 // ^ 1/2

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

x = (1/250)^(1/2) or x = -(1/250)^(1/2)

x in { (1/250)^(1/2), -(1/250)^(1/2) }

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