Quartic movement

A few words about the geometric interpretation of the quartic equation

 

The roots x₁ to x₄ are solutions of the equation

 

x⁴+cx²+dx+e=0

 

Then the radius will be equal to

 

√(d²/(4e)‒c)

 

As the absolute value of the coefficient d increases, the same is done with the asymmetry of the graph and the roots

Done