Observe that the first key polynomial from the
above spreadsheet is quadratic in *b*.
We could complete the square and put the polynomial
in the form

(6.10)
(*b* +
)
(*b*
+
) +

where and are expressions involving
, , , , *A*, ,
, and .
Since
there are many unknowns in the problem, there is
probably excess freedom.
Let us investigate what happens when we take .
This yields the polynomial equation

which we could add to the starting polynomial equations and proceed.
We can also complete the square for the expression in *c* and
put that expression in the form

We also assume that .
This
defines *c* by the following equation

Since we have now
solved for *b* and *c*,
we can use these equations to solve for
and .

Wed Jul 3 10:27:42 PDT 1996