Re: Using FindRoot
- To: mathgroup at smc.vnet.net
- Subject: [mg24867] Re: [mg24862] Using FindRoot
- From: BobHanlon at aol.com
- Date: Sat, 19 Aug 2000 04:45:44 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
In a message dated 8/16/2000 3:42:05 AM, kd7cyb at mac.com writes:
>Can you solve the exact answer (meaning as close as possible that
>equally satisfies both sides with the same result) to equations like
>these below using FindRoot, and how? Or do you use a better function?
>
>
>(*Can FindRoot get the closest answer possible to this equation or ones
>like it below?*)
>
>x^2==x^3
>(*OR*)
>x^2==x
>
eqn = (x^2 == x^3);
Solve[eqn, x]
{{x -> 0}, {x -> 0}, {x -> 1}}
NSolve[eqn, x]
{{x -> 0.}, {x -> 1.}}
Roots[eqn, x]
x == 1 || x == 0 || x == 0
Reduce[eqn, x]
x == 0 || x == 1
FindRoot[eqn, {x, #}] & /@ {0.1, 1.1}
{{x -> 0.0007006044051493954}, {x -> 1.0000004089369072}}
FindMinimum[Abs[x^3 - x^2], {x, #}][[2]] & /@ {{0.1, 0.2}, {1.1, 1.2}}
{{x -> -8.522617184550385*^-8}, {x -> 1.0000000118290961}}
Bob Hanlon