 #1
pairofstrings
 399
 6
 TL;DR Summary

I found the following heart curve on web:
x[SUP]6[/SUP] + 3x[SUP]4[/SUP]y[SUP]2[/SUP]  3x[SUP]4[/SUP] + 3x[SUP]2[/SUP]y[SUP]4[/SUP]  x[SUP]2[/SUP]y[SUP]3[/SUP]  6x[SUP]2[/SUP]y[SUP]2[/SUP] + 3x[SUP]2[/SUP] + y[SUP]6[/SUP]  3y[SUP]4[/SUP] + 3y[SUP]2[/SUP] = 1
Hello.
I am trying to write the equation of this heart curve as 'y = '.
So the following is my attempt to form that equation: 1 = 1/y (x^{6}y + 3x^{4}y^{3}  3x^{4}y + 3x^{2}y^{5}  x^{2}y^{4}  6x^{2}y^{3} + 3x^{2}y + y^{7}  3y^{5} + 3y^{3})
Here, the graph of the above equation looks like this:
Now, next I should write it as 'y = ' but the problem is as I rewrite the above equation as y = x^{6}y + 3x^{4}y^{3}  3x^{4}y + 3x^{2}y^{5}  x^{2}y^{4}  6x^{2}y^{3} + 3x^{2}y + y^{7}  3y^{5} + 3y^{3}
I get the curve correctly but there is a line going across the curve horizontally like this:
Question: How do I get rid of the line (green) from the above heart curve?
Thank you!
I am trying to write the equation of this heart curve as 'y = '.
So the following is my attempt to form that equation: 1 = 1/y (x^{6}y + 3x^{4}y^{3}  3x^{4}y + 3x^{2}y^{5}  x^{2}y^{4}  6x^{2}y^{3} + 3x^{2}y + y^{7}  3y^{5} + 3y^{3})
Here, the graph of the above equation looks like this:
Now, next I should write it as 'y = ' but the problem is as I rewrite the above equation as y = x^{6}y + 3x^{4}y^{3}  3x^{4}y + 3x^{2}y^{5}  x^{2}y^{4}  6x^{2}y^{3} + 3x^{2}y + y^{7}  3y^{5} + 3y^{3}
I get the curve correctly but there is a line going across the curve horizontally like this:
Question: How do I get rid of the line (green) from the above heart curve?
Thank you!