Groups > comp.soft-sys.math.maple > #322

Solve Polynomial

Date	2012-01-20 20:43 -0800
From	Thomas Dean <tomdean@speakeasy.net>
Newsgroups	comp.soft-sys.math.maple
Subject	Solve Polynomial
Message-ID	<bYidnZptqfcV34fSnZ2dnUVZ_o2dnZ2d@megapath.net> (permalink)

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Maple 15 does not produce a solution to diff(eq,x)=0;  But, one exists.

eqn := (2*x^2-5*x+2)/(5*x^2-7*x-6);
deq:=diff(eqn,x);
solve(deq=0,x);
# returns no solution
eq2 := op(1, deq) = op(2, deq);
solve(eq2,x,AllSolutions);
returns two solutions as I expect.

numer(eqn) is zero at x=2 and x=1/2
denom(eqn) is zero at x=2 and x=-3/5

eqn is zero at x=1/2 and undefined at x=2 and x=-3/5.  I assume 0/0 is 
undefined.

limit(eqn,x=2) is 3/13.

How can I use solve to do produce a solution for diff(eq,x)=0?

Tom Dean

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Solve Polynomial Thomas Dean <tomdean@speakeasy.net> - 2012-01-20 20:43 -0800
  Re: Solve Polynomial "Nasser M. Abbasi" <nma@12000.org> - 2012-01-20 23:52 -0600
    Re: Solve Polynomial "G. A. Edgar" <edgar@math.ohio-state.edu.invalid> - 2012-01-21 07:35 -0700
  Re: Solve Polynomial Thomas Dean <tomdean@speakeasy.net> - 2012-01-21 10:01 -0800
    Re: Solve Polynomial Thomas Dean <tomdean@speakeasy.net> - 2012-01-21 10:09 -0800
    Re: Solve Polynomial Peter Pein <petsie@dordos.net> - 2012-01-21 19:50 +0100
  Re: Solve Polynomial acer <maple@rogers.com> - 2012-01-21 10:04 -0800

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