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HP Forum Archive 18

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50G symbolic solver
Message #1 Posted by Hal Bitton in Boise on 21 Oct 2008, 10:41 a.m.

Hi all,
Can't seem to get my 50G to symbolically solve the equation y=(2-x^3)^5 for x. The Ti 89 emulator does it easily, yeilding x=(y^1/5-2)^1/3. Has the HP been trumped in this instance?
Best regards, Hal

      
Re: 50G symbolic solver
Message #2 Posted by Kiyoshi Akima on 21 Oct 2008, 3:08 p.m.,
in response to message #1 by Hal Bitton in Boise

As you, I couldn't get it to go as you wrote it. But then I tried rewriting your original equation as

XROOT(5,y)=2-x^3

and then used ISOL. After about a second it returned

x=XROOT(3,XROOT(5,y)-2)

which matches what you got from the TI.

            
Re: 50G symbolic solver
Message #3 Posted by V-PN on 21 Oct 2008, 3:13 p.m.,
in response to message #2 by Kiyoshi Akima

but double XROOTs are impossible for HP: you just have to do what you did: manipulate first. Too bad..

      
Re: 50G symbolic solver
Message #4 Posted by C.Ret on 21 Oct 2008, 5:19 p.m.,
in response to message #1 by Hal Bitton in Boise

Hello,

I have no clue why yours HP-50g don't solve it symbolically ! My old HP-28S have no trouble finding a symbolic solution in a second typing a few key :

2:    'Y=(2-X^3)^5'
1:              'X'
[ISOL]

returns in RAD mode 1: 'EXP(2*pi*i*n2/3)*(2-EXP(2*pi*i*n1/5)*Y^0.200)^0.333'

returns when limiting the results of ISOL and QUAD to the principal domain: 1: '(2-Y^0.200)^0.333'

I have no HP-50g here to check, but I see no reason your HP-50g may not obtain a similar result. Have you check X and Y variable are global (not already present in the path ?) and any flag or mode.

Edited: 21 Oct 2008, 5:40 p.m.


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