0.4=1600/x^2

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Solution for 0.4=1600/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)

0.4 = 1600/(x^2) // - 1600/(x^2)

0.4-(1600/(x^2)) = 0

0.4-1600*x^-2 = 0

-1600*x^-2 = -0.4 // : -1600

x^-2 = 0.00025

-2 < 0

1/(x^2) = 0.00025 // * x^2

1 = 0.00025*x^2 // : 0.00025

4000 = x^2

x^2 = 4000 // ^ 1/2

abs(x) = 20*10^(1/2)

x = 20*10^(1/2) or x = -(20*10^(1/2))

x in { 20*10^(1/2), -(20*10^(1/2)) }

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