Another form of cubic folium equation

[bluemoon2188]

Hello,

I am looking for a way to express the equation of folium

x³ + y³ = 3axy

into

x + y =$\frac{3a}{\frac{x}{y}+\frac{y}{x}-1}$

thanks

bluemoon2188

 

[henry_m]

$$x^3+y^3=(x+y)(x^2-xy+y^2)=(x+y)\left(\frac{x}{y}+\frac{y}{x}-1\right)xy$$

 

[bluemoon2188]

Oh coo.l. Thanks henry_m.

bluemoon2188