Hello,
I does not understand why eliminate raises squared the original equation.
(%i1) sys : [a * x ^ 2 + b * y + c, d * y ^ 2 + e * z + f, g * x + h * z]$
(%i2) eliminate(sys, [x]);
(%o2) [a * h ^ 2 * z ^ 2 + b * g ^ 2 * y + c * g ^ 2, (e * z + d * y ^ 2 + f) ^ 2]
It is normal that the second equation is high squared?
Thanks.
Laurent.