Re: quadratics with related roots
Gerry Myerson wrote:
I did maths at university and don't recall ever having do to anything
like this. Is there some field of maths, science or engineering in
which people need to produce equations with related roots like this?
It comes up from time to time in Algebraic Number Theory
and/or Galois Theory,
Aha. I haven't done either of those.
but mainly I think it's there as
a good question to test whether a student really understands
what's going on.
Well, that was my main guess. Though of course since these
questions turned up all the time, they, too, became mechanical.
.