On Jan 23, 2008 9:19 PM, Ted Kosan <[EMAIL PROTECTED]> wrote:

>
> [...,..,x == (-1)^(1/3)*3^(1/3)]
>
>
> I ran into this issue while demonstrating the usefulness of the solve
> function in front of a class of students.  That was quite 'fun' :-)
>
> Ted
>
It does seem strange that the answer that looked like it should be real is
actually not.  If you have sage evaluate the first value in the returned
answers you see that despite its appearance it is the pure real number that
you desire.

b[0].right().n()

you get

-1.44224957030741

So make sure that your students see that sage *did* return the desired
value.  But also remind them to be careful because all other things
being equal technology tends to answer your questions in the way that
makes the most sense to its programmer, which does not necessarily
make the most sense to a student (or anyone else).


Jacob Hicks
Mathematics Teacher
Trinity Collegiate School

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