Sistemas de polinomios

Supongamos que tenemos el siguiente sistema de polinomios de 4to grado:

\displaystyle x^3y + x^2y^2 + x^4 + y^3x = 0
\displaystyle xy^3 + xy + x^3y + y^3x = 0

Agregando 3 variables podemos hacerlo cuadrático:

\displaystyle u - x^2 = 0
\displaystyle v - y^2 = 0
\displaystyle w - xy = 0
\displaystyle uw + uv + u^2 + vw = 0
\displaystyle wv + w + uw + vw = 0

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