200/x^2=16/9

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Solution for 200/x^2=16/9 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) = 16/9 // - 16/9

200/(x^2)-(16/9) = 0

200/(x^2)-16/9 = 0

200*x^-2 = 16/9 // : 200

x^-2 = 2/225

-2 < 0

1/(x^2) = 2/225 // * x^2

1 = 2/225*x^2 // : 2/225

225/2 = x^2

x^2 = 225/2 // ^ 1/2

abs(x) = (225/2)^(1/2)

x = (225/2)^(1/2) or x = -(225/2)^(1/2)

x in { (225/2)^(1/2), -(225/2)^(1/2) }

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