200/x^2=10

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Solution for 200/x^2=10 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)

200/(x^2) = 10 // - 10

200/(x^2)-10 = 0

200*x^-2 = 10 // : 200

x^-2 = 1/20

-2 < 0

1/(x^2) = 1/20 // * x^2

1 = 1/20*x^2 // : 1/20

20 = x^2

x^2 = 20 // ^ 1/2

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

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

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

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