If I do:
R.<x,y>= PolynomialRing(QQ,2)
f=x^2-y^2
f.roots()
Why it doesn't work? And next code work:
R.<x>= PolynomialRing(QQ)
f=x^2-1
f.roots()
I don't understand why.
And one more things, If I want to define all polinomials as this form -> ax^2 - by^2 where $a$ and $b$ are constants. Have I do this?
R.<a,b,x,y>=PolynomialRing(QQ,4)
I=R.Ideal([a*x^2 - b*y^2])
f= 2*x^2 - 3*y^2
How can I do that?
Thank you so much.
