sistemes de ecuacions

x^{3}+y^{3} = p
x+y = q


q^{3}+(-p) = (3q)·xy


x^{2}+( (q^{3}+(-p))/(3q) )+(-q)·x = 0
y^{2}+( (q^{3}+(-p))/(3q) )+(-q)·y = 0


x = (1/2)·( q+( (-q)^{2}+(-4)((q^{3}+(-p))/(3q)) )^{(1/2)} )
y = (1/2)·( q+(-1)·( (-q)^{2}+(-4)((q^{3}+(-p))/(3q) )^{(1/2)} )


q^{3}+(-p) = ...
... (3q)·(1/4)·...
... ( q+( (-q)^{2}+(-4)((q^{3}+(-p))/(3q)) )^{(1/2)} )·...
... ( q+(-1)·( (-q)^{2}+(-4)((q^{3}+(-p))/(3q) )^{(1/2)} )