Displaying all roots of a number


Hi Everybody,

Does the 50G (or 48g for that matter) have any functionality whereby all the roots of a number (namely a complex number) can be displayed? Ie...if I take the fifth roots of a complex number, I would be able to see all five roots.

Thanks and best regards, Hal


You should be able to use "PROOT" for this purpose. The command gives all the roots of an arbitrary polynomial and by transforming your problem into a plynomial equaton by setting the coefficient you don't need to zero you can find the roots.

For example to find all the fifth roots to 2+3i transform this into the equation -z^5+(2+3i)=0, on the 50g put

[ -1 0 0 0 0 (2,3) ]

(where the zeros are the coefficients for z^4 down to z^1) on the stack and press PROOT (found under "NUM.SLV"/"POLY").

The results is (approximately):
(1.27 , 0.25)
(-0.88 , -0.95)
(0.15 , 1.28)
(0.63 , -1.13)
(-1.17 , 0.54)

Hope this works.



Thanks Michael,

That works nicely.

Possibly Related Threads...
Thread Author Replies Views Last Post
  HP 50g - displaying result in engineering format Sean Freeman 10 1,153 11-24-2013, 05:44 AM
Last Post: C.Ret
  HP prime: logs and roots Alberto Candel 5 638 11-20-2013, 12:31 PM
Last Post: Manolo Sobrino
  WP34s displaying text Steve B (Canada) 3 522 04-16-2013, 04:32 PM
Last Post: Walter B
  HP-51G: Back to the honorable roots! Martin Paech 24 1,884 04-08-2012, 01:39 AM
Last Post: db (martinez, ca.)
  35s - find roots of 3rd and higher order equations Chris C 11 988 02-25-2012, 02:55 PM
Last Post: Thomas Klemm
  HP-42S displaying Runic alphabet Bill (Smithville, NJ) 13 1,116 02-19-2012, 02:36 PM
Last Post: Bill (Smithville, NJ)
  Polynomial roots again ... fhub 13 1,096 12-28-2011, 12:49 PM
Last Post: fhub
  Any expert for polynomial roots here? fhub 20 1,503 11-10-2011, 01:52 PM
Last Post: Peter Murphy (Livermore)
  HP 15C Displaying Incorrect Values! Ian McParland 13 1,033 04-20-2011, 06:39 PM
Last Post: BobVA
  Is there something going on out there? (or Getting Back to My Roots...) Vieira, Luiz C. (Brazil) 22 1,638 04-26-2010, 09:51 PM
Last Post: Vieira, Luiz C. (Brazil)

Forum Jump: