Datasheet

295
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(i) Find all roots of the complex polynomial
32
() 4 4
f
zziz zi
=
+−−
.
(ii) Find the complex roots of
5
32z
=
.
The best way to do this is using POLYROOT. I usually the results into a
matrix, since the matrices on the hp 39g+ can be complex vectors, not just
real matrices.
(i) The coefficients can be entered into POLYROOT in the form a+bi or as
(a,b). In this case the roots are integers so
there is no need to store it into a matrix.
Coefficients must be in square brackets
separated by commas.
(ii) The method is to solve the complex
polynomial
5
32 0z −=, setting the other
coefficients to zeros. This is shown in the
second POLYROOT calculation in the screen
shot right.
In this case the results are unlikely to be
integers so we store them into M1. The result
is shown below and right. The edit line shows
the highlighted element to a greater degree of
accuracy. Unfortunately there is no way on the
hp 39g+ to get exact surds as your answer.