I have a nonlinear Diophantine equation of the form
[math]g(x,s)×t^2(x)+h(s)×t(x)×z(y)+w(y,s)×z^2(y)=0[/math]where [math]g,t,h,z[/math] are all polynomial functions.
Then I am asking if one can consider this equation as a quadratic one in $t,z$ and apply the same methods known for with $2$ variables.
[math]g(x,s)×t^2(x)+h(s)×t(x)×z(y)+w(y,s)×z^2(y)=0[/math]where [math]g,t,h,z[/math] are all polynomial functions.
Then I am asking if one can consider this equation as a quadratic one in $t,z$ and apply the same methods known for with $2$ variables.