hp 50 g simplify solutions

08092015, 02:24 PM
Post: #1




hp 50 g simplify solutions
Hello friends,
on hpcalc.org there exist a nice little libary which makes it possible, that the hp 50g is able to solve exact equations of 4th order. For instance: \[ x^4  16 = 0 \] Okay it is very easy and even the hp 50g is able to factorize it, but that is not the point. The program "polyroot" gives a list with four entries. One of the entries looks like: \[ \frac{1}{6\cdot \sqrt[3]{\frac{8\cdot \sqrt{3}}{9}}}\cdot \sqrt{ \left(3+3\cdot i\cdot \sqrt{3}\right)\cdot {\sqrt[3]{\frac{8\cdot \sqrt{3}}{9}}}^{3}\left(44\cdot i\cdot \sqrt{3}\right)\cdot \sqrt[3]{\frac{8\cdot \sqrt{3}}{9}}}\cdot \sqrt{6}\frac{1}{6\cdot \sqrt[3]{\frac{8\cdot \sqrt{3}}{9}}}\cdot \sqrt{ \left(33\cdot i\cdot \sqrt{3}\right)\cdot {\sqrt[3]{\frac{8\cdot \sqrt{3}}{9}}}^{3}\left(4+4\cdot i\cdot \sqrt{3}\right)\cdot \sqrt[3]{\frac{8\cdot \sqrt{3}}{9}}}\cdot \sqrt{6} \\ \frac{1}{3\cdot \sqrt[3]{\frac{8\cdot \sqrt{3}}{9}}}\cdot \sqrt{3\cdot {\sqrt[3]{\frac{8\cdot \sqrt{3}}{9}}}^{3}4\cdot \sqrt[3]{\frac{8\cdot \sqrt{3}}{9}}}\cdot \sqrt{3} \] Holy cow! If you take the command ">NUM" you get the short and expected short answer, but not as a simplified symbolic answer. I test a lot of combinations of the commands "SIMPLIFY" "COLLECT" and with the special commands "EXPLN" and so on. I hope there is somebody in this universe who knows the trick(s) for reducing such a monster expression to a simple complex number. Thank you in advance peacecalc 

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Messages In This Thread 
hp 50 g simplify solutions  peacecalc  08092015 02:24 PM
RE: hp 50 g simplify solutions  peacecalc  08102015, 06:38 AM
RE: hp 50 g simplify solutions  Gerald H  08102015, 07:41 AM
RE: hp 50 g simplify solutions  Tugdual  08102015, 08:36 AM
RE: hp 50 g simplify solutions  peacecalc  08102015, 09:44 AM
RE: hp 50 g simplify solutions  Gilles  08152015, 01:10 PM
RE: hp 50 g simplify solutions  Marcus von Cube  08152015, 12:07 PM
RE: hp 50 g simplify solutions  Brad Barton  08162015, 01:40 AM
RE: hp 50 g simplify solutions  peacecalc  08162015, 06:17 AM

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