y^2=720/x^2

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Solution for y^2=720/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)

y^2 = 720/(x^2) // - 720/(x^2)

y^2-(720/(x^2)) = 0

y^2-720*x^-2 = 0

-720*x^-2 = -y^2 // : -720

x^-2 = (y^2)/720

-2 < 0

1/(x^2) = (y^2)/720 // * x^2

1 = x^2*((y^2)/720) // : (y^2)/720

720*y^-2 = x^2

x^2 = 720*y^-2 // ^ 1/2

abs(x) = 12*5^(1/2)*y^-1

x = 12*5^(1/2)*y^-1 or x = -(12*5^(1/2)*y^-1)

x in { 12*5^(1/2)*y^-1, -(12*5^(1/2)*y^-1) }

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