((5y^2)/(6x^2))-3

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Solution for ((5y^2)/(6x^2))-3 equation: 


D( x )

6*x^2 = 0

6*x^2 = 0

6*x^2 = 0

6*x^2 = 0 // : 6

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

(5*y^2)/(6*x^2)-3 = 0

5/6*x^-2*y^2 = 3 // : 5/6*y^2

x^-2 = 18/5*y^-2

-2 < 0

1/(x^2) = 18/5*y^-2 // * x^2

1 = 18/5*x^2*y^-2 // : 18/5*y^-2

5/18*y^2 = x^2

x^2 = 5/18*y^2 // ^ 1/2

abs(x) = (5/18)^(1/2)*y

x = (5/18)^(1/2)*y or x = -((5/18)^(1/2)*y)

x in { (5/18)^(1/2)*y, -((5/18)^(1/2)*y) }

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