6-200/x^2=0

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Solution for 6-200/x^2=0 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)

6-(200/(x^2)) = 0

6-200*x^-2 = 0

-200*x^-2 = -6 // : -200

x^-2 = 3/100

-2 < 0

1/(x^2) = 3/100 // * x^2

1 = 3/100*x^2 // : 3/100

100/3 = x^2

x^2 = 100/3 // ^ 1/2

abs(x) = (100/3)^(1/2)

x = (100/3)^(1/2) or x = -(100/3)^(1/2)

x in { (100/3)^(1/2), -(100/3)^(1/2) }

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