What is the product of the imaginary roots of $x^7+px^2-q^2=0$? I did y=product of real roots, x=...imaginary roots, b=sum of the real roots, a=...imaginary roots. And I did the system: $yx=q^2\\ a+b=0\\ y+x+ab=0\\ xb+ya=p^2$
There is a best manner to do this question? Please.