2-(400/x^2)

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Solution for 2-(400/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)

2-(400/(x^2)) = 0

2-400*x^-2 = 0

-400*x^-2 = -2 // : -400

x^-2 = 1/200

-2 < 0

1/(x^2) = 1/200 // * x^2

1 = 1/200*x^2 // : 1/200

200 = x^2

x^2 = 200 // ^ 1/2

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

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

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

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