H=320/x^2

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Solution for H=320/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)

H = 320/(x^2) // - 320/(x^2)

H-(320/(x^2)) = 0

H-320*x^-2 = 0

-320*x^-2 = -H // : -320

x^-2 = H/320

-2 < 0

1/(x^2) = H/320 // * x^2

1 = (H/320)*x^2 // : H/320

320*H^-1 = x^2

x^2 = 320*H^-1 // ^ 1/2

abs(x) = 8*5^(1/2)*H^(-1/2)

x = 8*5^(1/2)*H^(-1/2) or x = -(8*5^(1/2)*H^(-1/2))

x in { 8*5^(1/2)*H^(-1/2), -(8*5^(1/2)*H^(-1/2)) }

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