b2y2 = x3(a-x)
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No. It is a quartic equation. The largest power of x in a quadratic equation must be 2.
Parametric Equations? x=(a+bcosu)sinv y=(a+bcosu)cosv z=bsinu+cv
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first the parametric equation of a sphere is X=cos(a) Y= sin(a)*cos(b) Z=sin(a)*sin(b) the equation of a cube is of the same type except that you have to multiply X,Y,and Z by A=(1+tan(a-pi/2*(floor((a+pi/4)/(pi/2))))²)^(1/2) and Y and Z by B=(1+tan(b-pi/2*(floor((b+pi/4)/(pi/2))))²)^(1/2) And the result should be a cube Ps: remove Z and take b=0 and you should have the equation of a 2D square, if you want explanations i can give you some but it's a bit long...
The similarities are that they are polynomial functions and therefore continuous and differentiable.A real cubic will has an odd number of roots (and so must have a solution), a quartic has an even number of roots and so may have no solutions.