(3/x)/1/x-5/y

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Solution for (3/x)/1/x-5/y equation: 


D( x )

x = 0

x = 0

x = 0

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

((3/x)/1)/x-(5/y) = 0

(3/x)/x-5*y^-1 = 0

3*x^-2 = -(-5*y^-1) // : 3

x^-2 = (5*y^-1)/3

-2 < 0

1/(x^2) = (5*y^-1)/3 // * x^2

1 = x^2*((5*y^-1)/3) // : (5*y^-1)/3

(3*y)/5 = x^2

x^2 = (3*y)/5 // ^ 1/2

abs(x) = (3^(1/2)*y^(1/2))/(5^(1/2))

x = (3^(1/2)*y^(1/2))/(5^(1/2)) or x = -((3^(1/2)*y^(1/2))/(5^(1/2)))

x in { (3^(1/2)*y^(1/2))/(5^(1/2)), -((3^(1/2)*y^(1/2))/(5^(1/2))) }

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