HP 40g hp 39g+ (39g & 40g)_mastering the hp 39g+_English_E_F2224-90010.pdf - Page 295

Finding complex roots (i) Find all roots of the complex polynomial f (z) = z3 + iz2 − 4z − 4i . (ii) Find the complex roots of z5 = 32 . 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 z5 − 32 = 0 , 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. 295