x3^(1/2)x^(1/2)y+4y48^(1/2)x^(3/2)

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Solution for x3^(1/2)x^(1/2)y+4y48^(1/2)x^(3/2) equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

4*x^(3/2)*y^(48^(1/2))+x^(1/2)*x^(3^(1/2))*y = 0

4*x^(3/2)*y^6.92820323+x^2.23205081*y = 0

x^(3/2)*y*(x^0.73205081+4*y^5.92820323) = 0

1*x^0.73205081 = -(4*y^5.92820323) // : 1

x^0.73205081 = -4*y^5.92820323

x^0 = (-4*y^5.92820323)^(1/0.73205081) // ^ 1/0

abs(x) = (-4)^(1.3660254/0)*y^(8.098076188542042/0)

x = (-4)^(1.3660254/0)*y^(8.098076188542042/0) or x = -((-4)^(1.3660254/0)*y^(8.098076188542042/0))

x^(3/2)*y = 0

x^(3/2)*y = 0 // : y

x^(3/2) = 0

x = 0

x in { (-4)^(1.3660254/0)*y^(8.098076188542042/0), -((-4)^(1.3660254/0)*y^(8.098076188542042/0)), 0 }

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